Algebra Examples

$3 \sqrt{72}$

Step 1

Rewrite $72$ as $6^{2} \cdot 2$ .

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Step 1.1

Factor $36$ out of $72$ .

$3 \sqrt{36 (2)}$

Step 1.2

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

$3 \sqrt{6^{2} \cdot 2}$

$3 \sqrt{6^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$3 (6 \sqrt{2})$

Step 3

Multiply $6$ by $3$ .

$18 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$18 \sqrt{2}$

Decimal Form:

$25.45584412 \dots$

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