Algebra Examples

$\sqrt[4]{128 n^{8}}$

Step 1

Rewrite $128 n^{8}$ as ${(2 n^{2})}^{4} \cdot 8$ .

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Step 1.1

Factor $16$ out of $128$ .

$\sqrt[4]{16 (8) n^{8}}$

Step 1.2

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

$\sqrt[4]{2^{4} \cdot 8 n^{8}}$

Step 1.3

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

$\sqrt[4]{2^{4} \cdot 8 {(n^{2})}^{4}}$

Step 1.4

Move $8$ .

$\sqrt[4]{2^{4} {(n^{2})}^{4} \cdot 8}$

Step 1.5

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

$\sqrt[4]{{(2 n^{2})}^{4} \cdot 8}$

Step 2

Pull terms out from under the radical.

$2 n^{2} \sqrt[4]{8}$