91Ó°ÊÓ

(a) Explain why ${(-\sqrt{n})}^2$is always non-negative, for $nâ‰\yen 0$

(b) Explain why $-{\left(\sqrt{n}\right)}^2$ is always non-positive, for $nâ‰\yen 0$

Explain the difference of finding the $n^{th}$root of a number when the index is even compared to when the index is odd.

For the function $g\left(x\right)=\sqrt[4]{4-4x}$, find

(a)$g\left(1\right)$

(b)$g(-3)$

In the following exercises, use the Product Property to simplify radical expression$\sqrt{125}.$