Simplify \(\frac{20}{5\sqrt{28} - 2 \sqrt{63}}\)
MATHEMATICS
WAEC 2006
Simplify \(\frac{20}{5\sqrt{28} - 2 \sqrt{63}}\)
- A. \(\frac{5\sqrt{7}}{7}\)
- B. \(\frac{5\sqrt{5}}{7}\)
- C. \(\frac{7\sqrt{5}}{7}\)
- D. \(\frac{7\sqrt{7}}{5}\)
Correct Answer: A. \(\frac{5\sqrt{7}}{7}\)
Explanation
\(\frac{20}{5 \sqrt{4 \times 7} - 2\sqrt{9 \times 7}}\)
\(\frac{20}{10 \sqrt{7} - 6\sqrt{7}}\)
= \(\frac{20 \sqrt{7}}{4 \sqrt{7}}\)
= \(\frac{5\sqrt{7}}{7}\)
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