# Math Help - Simplifying Radical Expression (CtP: Check the Proof)

1. ## Simplifying Radical Expression (CtP: Check the Proof)

Can you check to see if I took the proper steps to get the right answer?

Simplify:
$\sqrt {\frac {36x}{y^3}}$

$
\frac {6(\sqrt {xy})}{y^2}
$

My steps:
1. Simplify the numerator so it becomes:
$
\frac {6\sqrt {x}}{\sqrt {y^3}}
$

2. Simplify the denominator so it becomes:
$\frac {6\sqrt {x}}{y\sqrt {y}}$

3. It's improper to have a radical in the denominator so multiply the denominator and number by the square root of y would simplify that:
$\frac {6\sqrt {x(y)}}{y\sqrt {y} * (\sqrt {y})}$

Equals:

$\frac {6\sqrt {xy}}{y^2}$

2. Looks good to me, well done.

Better check that LaTeX.