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Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

Mathematics
WAEC 2018

Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

  • A. \(\sqrt{3} + 5\sqrt{5}\)
  • B. \(6 \sqrt{3} - 5 \sqrt{5}\)
  • C. \(6 \sqrt{3} + \sqrt{2}\)
  • D. \(6\sqrt{3} - \sqrt{2}\)
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Correct Answer: Option A
Explanation

\(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

= \(\sqrt{3 \times 36} + \sqrt{5 \times 25} - \sqrt{3 \times 25}\)

= \(6 \sqrt{3} + 5 \sqrt{5} - 5 \sqrt{3}\)

= \(\sqrt{3} + 5\sqrt{5}\)


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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