Question

simplify.
$5\sqrt{45}$

Explanation:

Step1: Factor 45 into square factor

$45 = 9 \times 5$

Step2: Split the square root

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

Step3: Simplify $\sqrt{9}$

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

Step4: Multiply coefficients

$5 \times 3 = 15$

Answer:

$15\sqrt{5}$