Simplify square root of 45p^2

$\sqrt{45 p^{2}}$

Step 1

Rewrite $45 p^{2}$ as ${(3 p)}^{2} \cdot 5$ .

Factor $9$ out of $45$ .

$\sqrt{9 (5) p^{2}}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 5 p^{2}}$

Move $5$ .

$\sqrt{3^{2} p^{2} \cdot 5}$

Rewrite $3^{2} p^{2}$ as ${(3 p)}^{2}$ .

$\sqrt{{(3 p)}^{2} \cdot 5}$

$\sqrt{{(3 p)}^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$3 p \sqrt{5}$

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