Exams › SSC CGL (Prelims) › General

Find the value that should replace ? so that the equation holds: (sqrt(7) + 2)^2 = ? + 4*sqrt(7)

1. 12
2. 11
3. 10
4. 9

Correct answer: 11

Solution

Expanding, (sqrt(7) + 2)^2 = 7 + 4*sqrt(7) + 4 = 11 + 4*sqrt(7). Matching the form ? + 4*sqrt(7) gives ? = 11.

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