Question

Help meeeeeeeeeeee
Simplify. Assume that all variables are positive.
√99x^17

Answer 1

3x^8 square root of 11x

Answer 2

`3x^8√(11x)`

Explanation:

`\sqrt{99x^(17)}`

First we have to break the 99 up into 9 and 11. Since 9 is a perfect square, it'll come out perfect. Then for the x to the power of 17 we will make the exponent into an even number by taking one x away.

`\sqrt{99x^(17)}\\\sqrt{9x^(16)}√(11x)`

So after we have this simplify the perfect square and don't touch the non-perfect ones.

`\sqrt{99x^(17)}\\\sqrt{9x^(16)}√(11x)\\3x^8√(11x)`

So that's it!