Exams › SSC CGL (Prelims) › General

If x = sqrt(3) + 1, find the value of x^2 - 2*sqrt(3).

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

Correct answer: 4

Solution

x^2 = (sqrt(3) + 1)^2 = 3 + 2*sqrt(3) + 1 = 4 + 2*sqrt(3). Subtracting 2*sqrt(3) leaves 4.

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