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Table of contents
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Table of contents

0:00
Introducción
0:22
Inicio
0:43
Radicación
2:49
Significado de la radicación
4:17
Ejemplos de radicación
9:06
Solución del ejemplo 1
9:53
Solución del ejemplo 2
11:18
Solución del ejemplo 3
12:15
Despedida
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calculo de raiz
calculo de raiz con numeros enteros
los numeros enteros
ing.dmtronix
diego meza
como calcular una raiz
radicacion
radicacion de numeros
radicacion de numeros enteros
Subtitles
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Subtitles

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  • ruRussian
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00:00:04
[Music]
00:00:16
[Music]
00:00:21
Hello everyone My name is Diego Mesa I am an
00:00:24
electronic engineer and on that
00:00:26
occasion we are going to look at recording
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integers well as a recommendation
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you can pause the video so
00:00:34
that you can take note of what is presented
00:00:37
below we will start
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well In the establishment of
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integers, the establishment is the
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inverse operation of the potentiation since it allows us
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to find the base When the
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exponent and the power are known Well, it tells me
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that if a and b belong to the integers and
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n belongs to the natural ones, with n
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greater than 2 the root of the nth
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of a is denoted as the nth
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root of a equal to b if B to the n
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is equal to it is important to take into account
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this relationship that is carried out. Why is it
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well known what it has to do with
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the potentiation that I also explain
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in one of my videos that it is very easy
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to work on the root why you can notice,
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look that the or the element of n, look at what
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is the exponent in the power of
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the number n. Now,
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look, a is also the result
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in the power
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and finally the result
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B, look, it is the number in the power
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that has to be raised to a power
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or an exponent, so if I have the nth
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root of a number, I can also
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think that if that number, by raising it to
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the power, I can find the element
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that is inside the root, look, it is
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the opposite and that allows me to find
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the root of a number in an easier way.
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Later I will explain
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examples where you will understand it
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better, but with this relationship we can
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understand and know how it is relates the
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root to the potentiation,
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we continue
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in the previous expression,
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the following parts are identified. Well, it
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tells me that it is the nth root of a
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equal to b, so the
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root is known as the radical
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symbol that is used to denote the
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radicalization. That symbol is what you can do.
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be looking root symbol good
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index
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number located above the radical is the
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number to which the root must be raised
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to obtain the subradical quantity look
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What is the subradical quantity number
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located inside the radical this number
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is the one to which the root is calculated and
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finally root result of the
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radiation is the number that raised to the
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index of the root results in the
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subradical quantity, what I had
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told you previously within the
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relationship with the power, if I can
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find a number that when raised in
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this number, which is n I can
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find the result
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later in the examples that I am going to
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present, you will see it better.
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We continue
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rules for calculating a root. It is
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important to take these rules into account
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so that they allow you to calculate them in an easier way.
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the nth root of an
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integer
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the following rules must be taken into account when it tells us
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nth root it means that it is from
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any root Well then first
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the nth root of a positive number is
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a positive number that is, if a
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belongs to the positive integers
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then the nth root of a is greater
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than 0.
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For example, look at the third root of 729
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is equal to 9. Why, look, it tells me
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that
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9 exposed to 3 gives us 729. In other words, that
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is what is interesting about the relationship with
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empowerment. Because if You ask you
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to calculate this root, what you do is look for
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a number that, when raised to 3, you can
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find what is inside the radical
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and look at how you are seeing it in this part.
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So it is very important to note that
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in cases where n is even, you should always
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take positive values ​​of the root in order to
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avoid ambiguity, for example
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2 to the power of 2 is equal to 4 and look what it tells me
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minus 2 squared is also equal to 4
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so when obtaining the root
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the positive one is always taken,
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good for these cases because Obviously,
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if I want to look for a number, look that
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minus 2
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when squared also gives me 4,
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being a positive number,
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we continue
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2.
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If n is an odd number and a is a
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negative number, then the nth root of a is
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negative. Let's look, and it
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tells me if a belongs. to
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negative integers and n is odd, then the
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nth root of a is less than zero, for
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example, look at the fifth root of minus 32 is
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equal to 2. Why do I have to look for a
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number that, when raised to 5, gives me
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32 as a result, so 2 a 5 is
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32 but since it is minus 2 then
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it is
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minus 32 for this case
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3 if n is an even number and a is a
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negative number then the nth root of a
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is not integer for example if a belongs
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to the negative Z and n is odd then
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The nth root of a does not belong to the
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integers. In other words, it will not be able to be
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calculated. For example, look, the
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fourth root of -81 does
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not belong to the tile. Why, now,
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look, I have to look for a number that,
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exposed to 4, gives me 81 Look, I
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can say 3 to the 4th, which is 81 and -3 to the
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4th is also 81. So I can't
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calculate this root because within the
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radical it tells me to be minus 81 and I'm
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not going to get that result, why?
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because we have an even exponent and when
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the exponent is even the number is going to
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become positive in that case for
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those roots they cannot be calculated
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I hope you have learned it and
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understand it How to explain these
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cases there is no solution since
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there is no integer that raised to the
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fourth Power of as a result minus
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81
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we continue
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example 1 to express
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the following power in the form of a radiation.
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Then we have this power, we
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must expose it in the form of a radiation,
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what would it be like?
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We know that the form is the
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nth root of a is equal a b must be
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taken to this form as long as we see
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that we have it in potential, then
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in root form it is expressed as the
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fifth root of minus
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7,776 is equal to minus 6 the relationship that
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exists between the establishment and the
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potentiation
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we continue
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example 2 calculate the following roots
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by checking the
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answer obtained, then
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root of 169, look when it does not have an index
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in the root,
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it is ASSUMED that it is 2, that is, a square root.
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Therefore, to find the root, you
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must look for a number that, when raised
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to 2, results in be
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169 you can pause the video and check your
00:10:29
response if you liked this type of content
00:10:31
please don't forget to
00:10:34
subscribe give a like activate the
00:10:36
bell so you are waiting for
00:10:38
my next posts
00:10:40
well
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look that in this case the root of 169
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is 13 What Because 13 squared is
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169 then you have understood it
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better there How to calculate a root
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if by squaring 13 that is 13 *
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13 for some if you have forgotten that
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part when solving it you can get
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that your result is 169 multiply 13
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for 13 Therefore that is the result
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we continue
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B root third of -125 look when the
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index is odd and is negative a look
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minus 125 the root will be negative for your
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solution you must find a number that when
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raised to 3 your result is minus
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125
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look at the third root of -125 is -5
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why Because minus 5 exposed to 3 is
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minus 125
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when Cubed minus 5 that is minus 5
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times minus 5 times minus 5 your result
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would be minus 125
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for you to take into account
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Well, when
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these topics are expressed and explained, I always
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leave a workshop so that you can
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verify it according to what has been
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explained. We have four points, some
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theoretical and others practical, where you
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can solve them. We
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also have some spaces
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presented where you are going to look for a
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number that
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when taken to this power gives us a
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result plus 8 and so on for the others it
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tells me about the previous point In which cases there is
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more than one answer why do you know
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that when you have a negative number and
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you have a power even the result
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will always be positive, that is,
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they can have two numbers in that case,
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well,
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not being more, I hope this explanation
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has been clear for you and you have
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learned everything that has to do with
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the establishment of integers, not
00:13:22
being more. Don't forget. subscribe give a
00:13:24
like activate the bell and see you
00:13:27
next time
00:13:29
thank you

Description:

Se presenta la Radicacion de Numeros Enteros, sus caracteristicas, como hacer el cálculo de la raíz, ejemplos aplicativos y un taller para verificar el contenido estudiado. Puedes visitar mi página. https://dmtronix.wixsite.com/dmtronix o mi canal de YouTube: https://www.youtube.com/channel/UCTDqCaCKnnhVCPU_3iN1EEQ Donaciones por el trabajo realizado: https://www.paypal.com/donate/?hosted_button_id=5F9XFGQJKLC9A

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