Exams › SSC CGL (Prelims) › General

If $x = \sqrt{3} + 1$, find $x^2 - 2\sqrt{3}$.

1. 2
2. 3
3. 4
4. 5

Correct answer: 4

Solution

$x^2 = (\sqrt{3}+1)^2 = 3 + 1 + 2\sqrt{3} = 4 + 2\sqrt{3}$. Subtracting $2\sqrt{3}$ gives 4.

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