WAEC - Further Mathematics (2008 - No. 1)
Simplify \(\frac{\sqrt{3} + \sqrt{48}}{\sqrt{6}}\)
\(3\sqrt{2}\)
\(5\sqrt{2}\)
\(\frac{5\sqrt{2}}{2}\)
\(\frac{3\sqrt{2}}{2}\)
Explanation
\(\frac{\sqrt{3} + \sqrt{48}}{\sqrt{6}} = \frac{\sqrt{3} + 4\sqrt{3}}{\sqrt{6}}\)
\(\frac{5\sqrt{3}}{\sqrt{6} = \frac{5\sqrt{3} \times \sqrt{6}}{\sqrt{6} \times \sqrt{6}}\)
\(\frac{5\sqrt{18}{6} = \frac{15\sqrt{2}}{6}\)
= \(\frac{5\sqrt{2}}{2}\)
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