Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
A
18
B
16
C
14
D
12
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
\(\sqrt{4 \times 3} (6 \times 3 - \sqrt{3}) = 2 \sqrt{3}(4 \sqrt{3} - \sqrt{3})\)
= 2\(\sqrt{3} \times \sqrt{3} (4 - 1) 2\sqrt{9}(3) = 2 \times 3 \times 3 = 18\)
Source: Myschool Past Questions Archive (Record #36935)