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SSC CGL 2025 PYQ — Question 31

SSC CGL - 26 Sep 2025 - Shift 1 • Quantitative Aptitude • Q31

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Rationalize:

2+32−3\frac{\sqrt{2}+\sqrt{3}}{\sqrt{2}-\sqrt{3}}

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Correct answer: B

Explanation

The correct answer is option 2 i.e.  -5 - 26\sqrt{6}

= (√2 + √3)/(√2 − √3)

Multiply numerator and denominator by (√2 + √3):

= (√2 + √3)2 / [(√2 − √3)(√2 + √3)]

= (2 + 3 + 2√6) / (2 − 3)

= (5 + 2√6)/(-1)

= -5 − 2√6