Algebra Examples

$\sqrt{80 x}$

Step 1

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

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Step 1.1

Factor $16$ out of $80$ .

$\sqrt{16 (5) x}$

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

Add parentheses.

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

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

Step 2

Pull terms out from under the radical.

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

Step 3

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

$4 \sqrt{5 x}$

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