Trigonometry Examples

$\sqrt{45 x^{14}}$

Step 1

Rewrite $45 x^{14}$ as ${(3 x^{7})}^{2} \cdot 5$ .

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Step 1.1

Factor $9$ out of $45$ .

$\sqrt{9 (5) x^{14}}$

Step 1.2

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 5 x^{14}}$

Step 1.3

Rewrite $x^{14}$ as ${(x^{7})}^{2}$ .

$\sqrt{3^{2} \cdot 5 {(x^{7})}^{2}}$

Step 1.4

Move $5$ .

$\sqrt{3^{2} {(x^{7})}^{2} \cdot 5}$

Step 1.5

Rewrite $3^{2} {(x^{7})}^{2}$ as ${(3 x^{7})}^{2}$ .

$\sqrt{{(3 x^{7})}^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$3 x^{7} \sqrt{5}$