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JEE Advanced Maths: Basic Mathematics / Number Systems questions with solutions

1 questions with worked solutions.

Questions

Q1. Find the exact value of sqrt(8 + sqrt(60)) + sqrt(8 - sqrt(60)).

  1. 2*sqrt(3)
  2. 16
  3. 2*sqrt(5)

Answer: 2*sqrt(5)

S² = (8+sqrt(60)) + 2*sqrt(64-60) + (8-sqrt(60)) = 16 + 2*sqrt(4) = 16 + 4 = 20, so S = sqrt(20) = 2*sqrt(5).

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