Simplify \(\sqrt{50} + \frac{10}{\sqrt{2}}\)
MATHEMATICS
WAEC 2008
Simplify \(\sqrt{50} + \frac{10}{\sqrt{2}}\)
- A. 10
- B. 10\(\sqrt{2}\)
- C. 20
- D. 20\(\sqrt{2}\)
Correct Answer: B. 10\(\sqrt{2}\)
Explanation
\(\sqrt{50} + \frac{10}}{\sqrt{2}} = \(\frac{\sqrt{50}}{1} + \sqrt{10}{\sqrt{2}}\)
= \(\frac{\sqrt{50 \times 2} + 10}{\sqrt{2}}\)
= \(\frac{\sqrt{100} + 10}{\sqrt{2}}\)
= \(\frac{10 + 10}{\sqrt{2} = \frac{20}{\sqrt{2}}\)
= \(\frac{20}{\sqrt{2}}\) \times \frac{\sqrt{2}}{\sqrt{2}}\)
= \(\frac{20\sqrt{2}}{2}\)
= 10\(\sqrt{2}\)
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