mprettygirl mprettygirl
  • 10-08-2018
  • Mathematics
contestada

Find the following product ^5 square root 4x^2* ^5 square root 4x^2?
1) 4x^2
2) ^5sqrt 16x^4
3) 2(^5sqrt 4x^2)
4) 16x^4

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Аноним Аноним
  • 10-08-2018

I'm assuming that you're asking about

[tex] \sqrt[5]{4x^2}\cdot\sqrt[5]{4x^2} [/tex]

If this is the case, you need to use the following rule:

[tex] \sqrt[a]{b}\cdot\sqrt[a]{c} = \sqrt[a]{bc} [/tex]

In other words, if the roots have the same order, the multiplication of the roots is the same thing as the root of the product of their content.

So, we have

[tex] \sqrt[5]{4x^2}\cdot\sqrt[5]{4x^2} = \sqrt[5]{4x^2 \cdot 4x^2} = \sqrt[5]{16x^4} [/tex]

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