Simplify \(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\)
A
3
B
1
C
\(\frac{1}{2}\)
D
\(\frac{1}{4}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\) = \(\frac{\sqrt{49 \times 2} - \sqrt{25 \times 2}}{\sqrt{16 \times 2}}\)
=> \(\frac{7\sqrt{2} - 5\sqrt{2}}{4\sqrt{2}}\) = \(\frac{2\sqrt{2}}{4\sqrt{2}}\) = \(\frac{1}{2}\)
Source: Myschool Past Questions Archive (Record #5907)