Simplify square root of (121a^2b^2)/(9h^4)

$\sqrt{\frac{121 a^{2} b^{2}}{9 h^{4}}}$

Step 1

Rewrite $121 a^{2} b^{2}$ as ${(11 a b)}^{2}$ .

$\sqrt{\frac{{(11 a b)}^{2}}{9 h^{4}}}$

Step 2

Rewrite $9 h^{4}$ as ${(3 h^{2})}^{2}$ .

$\sqrt{\frac{{(11 a b)}^{2}}{{(3 h^{2})}^{2}}}$

Step 3

Rewrite $\frac{{(11 a b)}^{2}}{{(3 h^{2})}^{2}}$ as ${(\frac{11 a b}{3 h^{2}})}^{2}$ .

$\sqrt{{(\frac{11 a b}{3 h^{2}})}^{2}}$

Step 4

Pull terms out from under the radical, assuming positive real numbers.

$\frac{11 a b}{3 h^{2}}$