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 \(6\sqrt{3} - \sqrt{2}\)
waec 2018mathematics

The correct answer is A. \(\sqrt{3} + 5\sqrt{5}\)

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

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

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

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

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