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JAMB 1994 · UME · Q5

Simplify 48−93+75\sqrt{48} - \dfrac{9}{\sqrt3} + \sqrt{75}.

Worked solution (try it first)
  1. Take out square factors: 48=43\sqrt{48} = 4\sqrt3 and 75=53\sqrt{75} = 5\sqrt3.
  2. Rationalise: 93=933\dfrac{9}{\sqrt3} = \dfrac{9\sqrt3}{3}, which is 333\sqrt3.
  3. Combine: 43−33+53=634\sqrt3 - 3\sqrt3 + 5\sqrt3 = 6\sqrt3, option B.

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