Trigonometry Examples

$5 \sqrt{80 m}$

Step 1

Rewrite $80 m$ as ${(2^{2})}^{2} \cdot (5 m)$ .

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Step 1.1

Factor $16$ out of $80$ .

$5 \sqrt{16 (5) m}$

Step 1.2

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

$5 \sqrt{4^{2} \cdot 5 m}$

Step 1.3

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

$5 \sqrt{{(2^{2})}^{2} \cdot 5 m}$

Step 1.4

Add parentheses.

$5 \sqrt{{(2^{2})}^{2} \cdot (5 m)}$

$5 \sqrt{{(2^{2})}^{2} \cdot (5 m)}$

Step 2

Pull terms out from under the radical.

$5 (2^{2} \sqrt{5 m})$

Step 3

Simplify the expression.

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Step 3.1

Raise $2$ to the power of $2$ .

$5 (4 \sqrt{5 m})$

Step 3.2

Multiply $4$ by $5$ .

$20 \sqrt{5 m}$

$20 \sqrt{5 m}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$