simplify \(\frac{10}{\sqrt{32}}\)
MATHEMATICS
WAEC 2000
simplify \(\frac{10}{\sqrt{32}}\)
- A. \(\frac{5}{4}\sqrt{2}\)
- B. \(\frac{4}{5}\sqrt{2}\)
- C. \(\frac{5}{16}\sqrt{2}\)
- D. \(\frac{16}{5}\sqrt{2}\)
Correct Answer: A. \(\frac{5}{4}\sqrt{2}\)
Explanation
\(\frac{10}{\sqrt{32}}=\frac{10}{\sqrt{16\times 2}} = \frac{10}{4\sqrt{2}}\\
\frac{10\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}=\frac{10\sqrt{2}}{4\times 2}= \frac{5}{4}\sqrt{2}\)
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