Exams › SSC CGL (Prelims) › General

Given x = sqrt(7) + 3, find the value of x^2 - 6*sqrt(7).

1. 14
2. 15
3. 16
4. 17

Correct answer: 16

Solution

x^2 = (sqrt 7 + 3)^2 = 7 + 6*sqrt 7 + 9 = 16 + 6*sqrt 7. Subtracting 6*sqrt 7 leaves 16.

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