Trigonometry Examples

$3 \sqrt{24 x^{8}}$

Step 1

Rewrite $24 x^{8}$ as ${(2 x^{4})}^{2} \cdot 6$ .

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Step 1.1

Factor $4$ out of $24$ .

$3 \sqrt{4 (6) x^{8}}$

Step 1.2

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

$3 \sqrt{2^{2} \cdot 6 x^{8}}$

Step 1.3

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

$3 \sqrt{2^{2} \cdot 6 {(x^{4})}^{2}}$

Step 1.4

Move $6$ .

$3 \sqrt{2^{2} {(x^{4})}^{2} \cdot 6}$

Step 1.5

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

$3 \sqrt{{(2 x^{4})}^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$3 (2 x^{4} \sqrt{6})$

Step 3

Multiply $2$ by $3$ .

$6 x^{4} \sqrt{6}$