Question

simplify.
$10\sqrt{45}$

Explanation:

Step1: Factor radicand into perfect square

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

Step2: Simplify the square root

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

Step3: Multiply by the coefficient

$10 \times 3\sqrt{5}$

Answer:

$30\sqrt{5}$