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Asked in PPSC, FPSC and other one-paper exams (compiled from unofficial resources).

Basic Arithmetic & Number SystemsSquare Roots and Cube Roots

If $A = \sqrt{5} + 1 + \sqrt{5} - 1$ and $B = \sqrt{5} - 1 + \sqrt{5} + 1$, then $A + B$ is equal to:

  1. A.$4\sqrt{5}$Correct answer
  2. B.$2\sqrt{5}$
  3. C.$4\sqrt{5} + 2$
  4. D.$2\sqrt{5} + 2$

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Quick fact: Simplifying $A$ and $B$ gives $A = 2\sqrt{5}$ and $B = 2\sqrt{5}$, so $A + B =$ $4\sqrt{5}$.

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