2017
Mathematics
67ca00ce0c643c71d77dee1f
Simplify 4√27 + 5√12 − 3√75
A.
7
B.
-7
C.
-7√3
D.
7√3
Correct Answer: 7√3
Explanation
4√27 + 5√12 − 3√75 = 4√3 × 9 + 5√3 × 4 − 3√3 × 25 = 4 × 3√3 + 5 × 2√3 − 3 × 5√3 = 12√3 + 10√3 − 15√3 = (12 + 10 − 15)√3 = 7√3
4√27 + 5√12 − 3√75 = 4√3 × 9 + 5√3 × 4 − 3√3 × 25 = 4 × 3√3 + 5 × 2√3 − 3 × 5√3 = 12√3 + 10√3 − 15√3 = (12 + 10 − 15)√3 = 7√3THIS WEEK's
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