Simplify (3sqrt{45}-12sqrt{5}+16sqrt{20})leaving your answer in surd form
-
A.
(29sqrt{5}) -
B.
(14sqrt{15}) -
C.
(12sqrt{15}) -
D.
(11sqrt{5})
Correct Answer: Option A
Explanation
(3sqrt{45}-12sqrt{5}+16sqrt{20}\
3sqrt{5times 9}-12sqrt{5}+16sqrt{4times 5}\
3times 3sqrt{5}-12sqrt{5}+16times 2sqrt{5}\
9sqrt{5}-12sqrt{5}+32sqrt{5}\
29sqrt{5})