Basic Math Examples

$\sqrt{64 x^{9}}$

Step 1

Rewrite $64 x^{9}$ as ${(8 x^{4})}^{2} x$ .

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Step 1.1

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2} x^{9}}$

Step 1.2

Factor out $x^{8}$ .

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

Step 1.3

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

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

Step 1.4

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

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

Step 2

Pull terms out from under the radical.

$8 x^{4} \sqrt{x}$