Exams › SSC CGL (Prelims) › General

Evaluate the expression: (sqrt(27) + sqrt(3))^2 - (sqrt(12) + sqrt(3))^2.

1. 21
2. 20
3. 22
4. 24

Correct answer: 21

Solution

sqrt(27)+sqrt(3) = 4sqrt(3) and sqrt(12)+sqrt(3) = 3sqrt(3). So (4sqrt(3))^2 - (3sqrt(3))^2 = 48 - 27 = 21.

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