Multiple choice

Which of the following expressions is a rational expression?

  1. $\frac{\sqrt 2}{\sqrt 3}$
  2. $\frac{\sqrt 5 \times \sqrt 6}{\sqrt 2}$
  3. $\frac{\sqrt 5 \times \sqrt 2}{\sqrt {10}}$
  4. $\frac{\sqrt 5 + \sqrt 6}{\sqrt 5 - \sqrt 6}$
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C Correct answer
Explanation

$\frac{\sqrt 5 \times \sqrt 2}{\sqrt {10}} = \frac{\sqrt{10}}{\sqrt{10}}$= 1, so it is a rational expression.

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