Algebra Examples

$\sqrt{9 x^{5}}$

Step 1

Rewrite $9 x^{5}$ as ${(3 x^{2})}^{2} x$ .

Tap for more steps...

Step 1.1

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} x^{5}}$

Step 1.2

Factor out $x^{4}$ .

$\sqrt{3^{2} (x^{4} x)}$

Step 1.3

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

$\sqrt{3^{2} ({(x^{2})}^{2} x)}$

Step 1.4

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

$\sqrt{{(3 x^{2})}^{2} x}$

Step 2

Pull terms out from under the radical.

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