Question

Combine and simplify the following radical expression.(3 sqaure root y ) ^2

Answer 1

$(3\sqrt{y})\placeholder{⬚}^2$

To simplify:

1. Power of a product:

$(ab)\placeholder{⬚}^n=a^nb^n$$(3\sqrt{y})\placeholder{⬚}^2=3^2*(\sqrt{y})\placeholder{⬚}^2$

2. When you squared a square root it is equal to:

$(\sqrt{a})\placeholder{⬚}^2=a$

Simplify:

$\begin{gathered} =3^2*(\sqrt{y})\placeholder{⬚}^2 \\ =9*y \\ =9y \end{gathered}$Then, the given expression simplified is equal to 9y