Algebra Examples

$\sqrt[4]{256 s^{7} t^{12}}$

Step 1

Rewrite $256 s^{7} t^{12}$ as ${(4 s t^{3})}^{4} s^{3}$ .

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Step 1.1

Rewrite $256$ as $4^{4}$ .

$\sqrt[4]{4^{4} s^{7} t^{12}}$

Step 1.2

Factor out $s^{4}$ .

$\sqrt[4]{4^{4} (s^{4} s^{3}) t^{12}}$

Step 1.3

Rewrite $t^{12}$ as ${(t^{3})}^{4}$ .

$\sqrt[4]{4^{4} (s^{4} s^{3}) {(t^{3})}^{4}}$

Step 1.4

Move $s^{3}$ .

$\sqrt[4]{4^{4} (s^{4}) {(t^{3})}^{4} s^{3}}$

Step 1.5

Rewrite $4^{4} (s^{4}) {(t^{3})}^{4}$ as ${(4 s t^{3})}^{4}$ .

$\sqrt[4]{{(4 s t^{3})}^{4} s^{3}}$

Step 2

Pull terms out from under the radical.

$4 s t^{3} \sqrt[4]{s^{3}}$