Simplify 4(sqrt{27}) + 5(sqrt{12}) − 3(sqrt{75})
-
A.
7 -
B.
− 7 -
C.
− 7(sqrt{3}) -
D.
7(sqrt{3})
Correct Answer: Option D
Explanation
4(sqrt{27}) + 5(sqrt{12}) − 3(sqrt{75})
= 4(sqrt{3}) × 9 + 5(sqrt{3}) × 4 − 3(sqrt{3}) × 25
= 4 × 3(sqrt{3}) + 5 × 2(sqrt{3}) − 3 × 5(sqrt{3})
= 12(sqrt{3}) + 10(sqrt{3}) − 15(sqrt{3})
= (12 + 10 − 15)(sqrt{3})
= 7(sqrt{3})
There is an explanation video available below.