JEE Main Maths: Basic Mathematics (Surds) questions with solutions

Q1. Evaluate sqrt(3 + sqrt(3) + sqrt(2 + sqrt(3) + sqrt(7 + sqrt(48)))).

1. 1 + sqrt(3)
2. 2 + sqrt(3)
3. sqrt(3)
4. 3

Answer: 1 + sqrt(3)

Each layer simplifies to a perfect square of the form (a + b*sqrt(3))², collapsing the nested radicals one by one.