Exams › SSC CGL (Prelims) › General

If b = sqrt(7), evaluate (b + 2)^2 + (b - 2)^2.

1. 18
2. 20
3. 22
4. 24

Correct answer: 22

Solution

By the identity (x+y)^2 + (x-y)^2 = 2(x^2 + y^2), the expression is 2(b^2 + 4). With b^2 = 7, this is 2(11) = 22.

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