Question

simplify.
\sqrt{150}
a $5\sqrt{6}$
b $25\sqrt{3}$
c $5\sqrt{5}$
d $3\sqrt{5}$
e $6\sqrt{5}$

Explanation:

Step1: Factor out perfect square

$\sqrt{150} = \sqrt{25 \times 6}$

Step2: Split the square root

$\sqrt{25 \times 6} = \sqrt{25} \times \sqrt{6}$

Step3: Simplify perfect square root

$\sqrt{25} \times \sqrt{6} = 5\sqrt{6}$

Answer:

A. $5\sqrt{6}$