Algebra Examples

$5 \sqrt{180}$

Step 1

Rewrite $180$ as $6^{2} \cdot 5$ .

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Step 1.1

Factor $36$ out of $180$ .

$5 \sqrt{36 (5)}$

Step 1.2

Rewrite $36$ as $6^{2}$ .

$5 \sqrt{6^{2} \cdot 5}$

$5 \sqrt{6^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$5 (6 \sqrt{5})$

Step 3

Multiply $6$ by $5$ .

$30 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$30 \sqrt{5}$

Decimal Form:

$67.08203932 \dots$

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