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SSC MTS 2026 PYQ — Question 14

SSC MTS - 6 Feb 2026 - Shift 3 • Quantitative Aptitude • Q14

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(3+2)+13−2=?(\sqrt{3} + \sqrt{2}) + \frac{1}{\sqrt{3} - \sqrt{2}} = ?

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Correct answer: D

Explanation

Given:

(3+2)+13−2(\sqrt{3} + \sqrt{2}) + \frac{1}{\sqrt{3} - \sqrt{2}}

Using the formula:

1/(a − b) = (a + b)/(a² − b²)

1/(√3 − √2) = (√3 + √2)/(3 − 2) = (√3 + √2)/1

(√3 + √2) + (√3 + √2) = 2(√3 + √2)

2(√3 + √2)