Exams › SSC CGL (Prelims) › General

If $x = \sqrt{6} - \sqrt{2}$ and $y = \sqrt{5} - \sqrt{3}$, then which of the following is true?

1. x = y
2. x < y
3. x > y
4. Cannot be determined

Correct answer: x > y

Solution

Approximating, $x \approx 2.449 - 1.414 = 1.035$ and $y \approx 2.236 - 1.732 = 0.504$. Since $1.035 > 0.504$, we get $x > y$.

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