Simplify square root of 45n^3

$\sqrt{45} n^{3}$

Step 1

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

Factor $9$ out of $45$ .

$\sqrt{9 (5)} n^{3}$

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

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

Step 2

Pull terms out from under the radical.

$3 \sqrt{5} n^{3}$