Precalculus Examples

$\sqrt{20 x^{16}}$

Step 1

Rewrite $20 x^{16}$ as ${(2 x^{8})}^{2} \cdot 5$ .

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Step 1.1

Factor $4$ out of $20$ .

$\sqrt{4 (5) x^{16}}$

Step 1.2

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

$\sqrt{2^{2} \cdot 5 x^{16}}$

Step 1.3

Rewrite $x^{16}$ as ${(x^{8})}^{2}$ .

$\sqrt{2^{2} \cdot 5 {(x^{8})}^{2}}$

Step 1.4

Move $5$ .

$\sqrt{2^{2} {(x^{8})}^{2} \cdot 5}$

Step 1.5

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

$\sqrt{{(2 x^{8})}^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$2 x^{8} \sqrt{5}$