Question

Simplify assume x and y are positive detailed step by step

Answer 1

We have the next expression

`\sqrt[]{27x^8y^5}`

And we must simplify it.

1. we must distribute the root for all terms

`=\sqrt[]{27}\sqrt[]{x^8}\sqrt[]{y^5}`

2. We must simplify √x^8 as x^4

`=\sqrt[]{27}x^4\sqrt[]{y^5}`

3. We must simplify √y^5 as y^2√y

`=\sqrt[]{27}x^4y^2\sqrt[]{y}`

4. We must simplify √27 as 3√3

`=3\sqrt[]{3}x^4y^2\sqrt[]{y}`

ANSWER:

`\sqrt[]{27x^8y^5}=3\sqrt[]{3}x^4y^2\sqrt[]{y}`