Simplify square root of 36x^2y^3

$\sqrt{36 x^{2} y^{3}}$

Step 1

Rewrite $36 x^{2} y^{3}$ as ${(6 x y)}^{2} y$ .

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2} x^{2} y^{3}}$

Factor out $y^{2}$ .

$\sqrt{6^{2} x^{2} (y^{2} y)}$

Rewrite $6^{2} x^{2} y^{2}$ as ${(6 x y)}^{2}$ .

$\sqrt{{(6 x y)}^{2} y}$

$\sqrt{{(6 x y)}^{2} y}$

Step 2

Pull terms out from under the radical.

$6 x y \sqrt{y}$

Related Questions