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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. \(\frac{7\sqrt{7}}{5}\)
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Correct Answer: Option A
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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts