Simplify: \(\sqrt{108} + \sqrt{125} – \sqrt{75}\)
-
\(\sqrt{3} + 5\sqrt{5}\)
- \(6 \sqrt{3} - 5 \sqrt{5}\)
- \(6 \sqrt{3} + \sqrt{2}\)
- \(6\sqrt{3} - \sqrt{2}\)
The correct answer is: A
Explanation
\(\sqrt{108} + \sqrt{125} - \sqrt{75}\)
= \(\sqrt{3 \times 36} + \sqrt{5 \times 25} - \sqrt{3 \times 25}\)
= \(6 \sqrt{3} + 5 \sqrt{5} - 5 \sqrt{3}\)
= \(\sqrt{3} + 5\sqrt{5}\)