Algebra Examples

$\sqrt{16 x^{9}}$

Step 1

Rewrite $16 x^{9}$ as ${(4 x^{4})}^{2} x$ .

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Step 1.1

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} x^{9}}$

Step 1.2

Factor out $x^{8}$ .

$\sqrt{4^{2} (x^{8} x)}$

Step 1.3

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

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

Step 1.4

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

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

Step 2

Pull terms out from under the radical.

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