Simplify square root of 49n^3

$\sqrt{49 n^{3}}$

Step 1

Rewrite $49 n^{3}$ as ${(7 n)}^{2} n$ .

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} n^{3}}$

Factor out $n^{2}$ .

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

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

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

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

Step 2

Pull terms out from under the radical.

$7 n \sqrt{n}$

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