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. \(6\sqrt{3} - \sqrt{2}\)
Correct Answer: A. \(\sqrt{3} + 5\sqrt{5}\)
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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