Pre-Algebra Examples

$\sqrt{216 k^{2}}$

Step 1

Rewrite $216 k^{2}$ as ${(6 k)}^{2} \cdot 6$ .

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Step 1.1

Factor $36$ out of $216$ .

$\sqrt{36 (6) k^{2}}$

Step 1.2

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

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

Step 1.3

Move $6$ .

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

Step 1.4

Rewrite $6^{2} k^{2}$ as ${(6 k)}^{2}$ .

$\sqrt{{(6 k)}^{2} \cdot 6}$

$\sqrt{{(6 k)}^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$6 k \sqrt{6}$

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