Simplify square root of 72k^2

$\sqrt{72 k^{2}}$

Step 1

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

Factor $36$ out of $72$ .

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

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

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

Move $2$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$6 k \sqrt{2}$

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