Home » Simplify (3sqrt{45}-12sqrt{5}+16sqrt{20})leaving your answer in surd form

Simplify (3sqrt{45}-12sqrt{5}+16sqrt{20})leaving your answer in surd form

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})

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