Simplify square root of 121x^9

$\sqrt{121 x^{9}}$

Step 1

Rewrite $121 x^{9}$ as ${(11 x^{4})}^{2} x$ .

Rewrite $121$ as $11^{2}$ .

$\sqrt{11^{2} x^{9}}$

Factor out $x^{8}$ .

$\sqrt{11^{2} (x^{8} x)}$

Rewrite $x^{8}$ as ${(x^{4})}^{2}$ .

$\sqrt{11^{2} ({(x^{4})}^{2} x)}$

Rewrite $11^{2} {(x^{4})}^{2}$ as ${(11 x^{4})}^{2}$ .

$\sqrt{{(11 x^{4})}^{2} x}$

Step 2

Pull terms out from under the radical.

$11 x^{4} \sqrt{x}$