Question

8 simplify the radical: $sqrt{180}$
a $2sqrt{90}$
b $18sqrt{10}$
c $6sqrt{5}$
d $9sqrt{20}$

Explanation:

Step1: Factor out perfect square

$180 = 36 \times 5$

Step2: Split radical into product

$\sqrt{180} = \sqrt{36 \times 5} = \sqrt{36} \times \sqrt{5}$

Step3: Simplify perfect square root

$\sqrt{36} = 6$, so $6 \times \sqrt{5}$

Answer:

C. $6\sqrt{5}$