Simplify square root of 28n^2

$\sqrt{28 n^{2}}$

Step 1

Rewrite $28 n^{2}$ as ${(2 n)}^{2} \cdot 7$ .

Factor $4$ out of $28$ .

$\sqrt{4 (7) n^{2}}$

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

$\sqrt{2^{2} \cdot 7 n^{2}}$

Move $7$ .

$\sqrt{2^{2} n^{2} \cdot 7}$

Rewrite $2^{2} n^{2}$ as ${(2 n)}^{2}$ .

$\sqrt{{(2 n)}^{2} \cdot 7}$

$\sqrt{{(2 n)}^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$2 n \sqrt{7}$

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