Question

simplify.
(9sqrt{28})

Explanation:

Step1: Factor radicand into perfect square

$\sqrt{28} = \sqrt{4 \times 7}$

Step2: Simplify the perfect square root

$\sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7}$

Step3: Multiply with the coefficient

$9 \times 2\sqrt{7}$

Answer:

$18\sqrt{7}$