Question

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

Answer 1

`(3√(y))\placeholder{⬚}^2`

To simplify:

1. Power of a product:

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

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

`(√(a))\placeholder{⬚}^2=a`

Simplify:

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