Simplify square root of 100v^3

$\sqrt{100 v^{3}}$

Step 1

Rewrite $100 v^{3}$ as ${(10 v)}^{2} v$ .

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2} v^{3}}$

Factor out $v^{2}$ .

$\sqrt{10^{2} (v^{2} v)}$

Rewrite $10^{2} v^{2}$ as ${(10 v)}^{2}$ .

$\sqrt{{(10 v)}^{2} v}$

$\sqrt{{(10 v)}^{2} v}$

Step 2

Pull terms out from under the radical.

$10 v \sqrt{v}$

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