Question

Simplify. (Assume all variables represent positive numbers.)✓32a5b15Need Help?Watch ItAdditional MaterialseBook

Answer 1

We have the next expression

`\sqrt[]{32a^5b^(15)}`

In order to simplify we will factorize the expression in a next way

`\sqrt[]{4\cdot4\cdot2\cdot a^4\cdot b^(14)\cdot b}`
`\sqrt[]{4}\cdot\sqrt[]{4}\cdot\sqrt[]{2}\cdot\sqrt[]{a^4}\cdot\sqrt[]{b^(14)}\cdot\sqrt[]{ab}`

Then we simplify the results

`2\cdot2\cdot a^2\cdot b^7\cdot\sqrt[]{2ab}`
`4a^2b^7\sqrt[]{2ab}`

the simplification is

`4a^2b^7\sqrt[]{2ab}`