Allied & ICAR Exam Bank • ALLIED_1699 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The simplified form of $\frac{1}{\sqrt{3} + \sqrt{2}} + \frac{1}{\sqrt{4} + \sqrt{3}}$ is:

Options:

  • (A) $2 - \sqrt{2}$
  • (B) $\sqrt{3} - 1$
  • (C) 1
  • (D) $\sqrt{2}$

Answer Key:

A

Step-by-Step Solution & Explanation

Rationalizing: $(\sqrt{3} - \sqrt{2}) + (\sqrt{4} - \sqrt{3}) = \sqrt{4} - \sqrt{2} = 2 - \sqrt{2}$.
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