Question

simplify.
\sqrt{45}

Explanation:

Step1: Factor out perfect square

$45 = 9 \times 5$

Step2: Split the square root

$\sqrt{45} = \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5}$

Step3: Simplify perfect square root

$\sqrt{9} = 3$, so $\sqrt{45} = 3\sqrt{5}$

Answer:

$3\sqrt{5}$