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SSC CHSL 2023 PYQ — Question 57

SSC CHSL - 08 Aug 2023 - Shift 4 • Quantitative Aptitude • Q57

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Evaluate 3+23−2 {\sqrt3+\sqrt2}\over {\sqrt3-\sqrt2}, given that 6=2.45.\sqrt6 = 2.45.

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 9.9.

3+23−2×3+23+2 {{\sqrt3+\sqrt2}\over {\sqrt3-\sqrt2}} \times {{\sqrt3+\sqrt2}\over {\sqrt3+\sqrt2}}

⇒ (3+2)2(3)2−(2)2 {{(\sqrt3+\sqrt2)^2}\over {(\sqrt3)^2-(\sqrt2)^2}}

⇒ 3+2+2323−2 {{3+2+2\sqrt3\sqrt2}\over {3-2}}

⇒ 5+26 {{5+2\sqrt6}}

⇒ 5 + 2 × 2.45 = 5 + 4.9 = 9.9