Simplify; \(\frac{1}{2}\sqrt{32} - \sqrt{18} + \sqrt{2}\)
A
zero
B
\(\sqrt{2}\)
C
2\(\sqrt{2}\)
D
4\(\sqrt{2}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{1}{2}\sqrt{32} - \sqrt{18} + \sqrt{2}\) = \(\frac{1}{2} (4\sqrt{2}) - 3\sqrt{2} + \sqrt{2}\)
= 2\(\sqrt{2} - 3\sqrt{2} + \sqrt{2}\)
= 3\(\sqrt{2} - 3\sqrt{2} - 3\sqrt{2}\) = 0
Source: Myschool Past Questions Archive (Record #36473)