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SSC CHSL 2022 PYQ — Question 67

SSC CHSL - 27 May 2022 - Shift 3 • Quantitative Aptitude • Q67

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Which of the following can be a rationalising factor of (√2 + √3 + √5) ?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. (2+3−5)6(\sqrt{2}+\sqrt{3}-\sqrt{5})\sqrt{6}

For rationalization, we need to multiply the given equation by the given options. If we get a real number by multiplying it then we can choose it as the correct option.

(√2 + √3 + √5)(√2 + √3 - √5) √6

⇒ (2 + √6 - √10 + √6 + 3 - √15 + √10 + √15 - 5)√6

⇒ (2√6)√6 = 12

Here, 12 is rational number