Algebra Examples

$\sqrt{320 m n}$

Step 1

Rewrite $320 m n$ as $8^{2} \cdot (5 m n)$ .

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Step 1.1

Factor $64$ out of $320$ .

$\sqrt{64 (5) m n}$

Step 1.2

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2} \cdot 5 m n}$

Step 1.3

Add parentheses.

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

Step 1.4

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

$8 \sqrt{5 m n}$

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