Exams › SSC CGL (Prelims) › General

Simplify the expression (sqrt(13) + sqrt(5))^2 - (sqrt(13) - sqrt(5))^2.

1. 4 sqrt(65)
2. 2 sqrt(65)
3. 8 sqrt(65)
4. 36

Correct answer: 4 sqrt(65)

Solution

Applying (a + b)^2 - (a - b)^2 = 4ab with a = sqrt(13) and b = sqrt(5) gives 4 * sqrt(13*5) = 4 sqrt(65).

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