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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 81 of 200

Q81
ArithmeticAlgebra, Equations & Operations
The product of $(2 - \sqrt{3})(2 + \sqrt{5})(4 + 2\sqrt{3})(\sqrt{5} - 2) = ?$
  1. a.1
  2. b.2
  3. c.3
  4. d.4

Answer: (B) 2

Pair the factors: $(2 - \sqrt{3})(4 + 2\sqrt{3}) = 2(2 - \sqrt{3})(2 + \sqrt{3}) = 2(4 - 3) = 2$. Also $(\sqrt{5} + 2)(\sqrt{5} - 2) = 5 - 4 = 1$. The product is 2 × 1 = 2.

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The product of (2 - \sqrt{3})(2 + \sqrt{5})(4 + 2\sqrt{3})(\sqrt{5}… — WBCS Main Examination 2023 Q81 | Prostuti360°