Exams › SSC CGL (Prelims) › General

What will come in place of ? to satisfy the equation: \((\sqrt{5} + 3)^2 = ? + 6\sqrt{5}\)

1. 12
2. 14
3. 16
4. 18

Correct answer: 14

Solution

Expanding \((\sqrt{5}+3)^2\) gives \(5+9+6\sqrt{5}=14+6\sqrt{5}\). Comparing with \(?+6\sqrt{5}\), the missing value is 14.

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