Exams › SSC CGL (Prelims) › General

Determine the value of ? that makes the equation true: (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 + 6*sqrt(5) + 9 = 14 + 6*sqrt(5). Matching this with ? + 6*sqrt(5), the rational term ? equals 14.

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