Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)
A
4
B
\(\sqrt{3} + 4\)
C
4 \(\sqrt{2}\)
D
4\(\sqrt{3} + 4\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)
\(\sqrt{12}\) + 2 x 2 - 2\(\sqrt{3}\)
2 \(\sqrt{3}\) - 2 \(\sqrt{3}\) + 4
= 4
Source: Myschool Past Questions Archive (Record #50027)