Question

Simplify 7/3 - 4 V6 + 48 - 54.


(20 points)

Answer 1

option B

Explanation:

7 sq rt 3 cannot be simplified

4 sq rt 6 cannot be simplified

sq rt 48 = (sq rt 12 · sq rt 4) = (sq rt 4 · sq rt 4 · sq rt 3) = 4 sq rt 3

sq rt 54 = (sq rt 9 · sq rt 6) = 3 · sq rt 6

combine each pair of like terms: (7 sq rt 3 + 4 sq rt 3) = 11 sq rt 3

(-4 sq rt 6 - 3 · sq rt 6) = -7 sq rt 6