Simplify \(\frac{\sqrt{3} + \sqrt{48}}{\sqrt{6}}\)
FURTHER MATHEMATICS
WAEC 2008
Simplify \(\frac{\sqrt{3} + \sqrt{48}}{\sqrt{6}}\)
- A. \(3\sqrt{2}\)
- B. \(5\sqrt{2}\)
- C. \(\frac{5\sqrt{2}}{2}\)
- D. \(\frac{3\sqrt{2}}{2}\)
Correct Answer: C. \(\frac{5\sqrt{2}}{2}\)
Explanation
\(\frac{\sqrt{3} + \sqrt{48}}{\sqrt{6}} = \frac{\sqrt{3} + 4\sqrt{3}}{\sqrt{6}}\)
\(\frac{5\sqrt{3}}{\sqrt{6} = \frac{5\sqrt{3} \times \sqrt{6}}{\sqrt{6} \times \sqrt{6}}\)
\(\frac{5\sqrt{18}{6} = \frac{15\sqrt{2}}{6}\)
= \(\frac{5\sqrt{2}}{2}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *