Question

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

Answer 1

b

Explanation:

Answer 2

I'm assuming that you're asking about

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

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

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

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

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