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SSC MTS 2026 PYQ — Question 6

SSC MTS - 18 Feb 2026 - Shift 1 • Quantitative Aptitude • Q6

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26+2165\sqrt{26+2\sqrt{165}}

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Correct answer: A

Explanation

26+2165=x+y\sqrt{26+2\sqrt{165}}=\sqrt{x}+\sqrt{y}

26+2165=x+y+2xy26+2\sqrt{165}=x+y+2\sqrt{xy}

x+y=26x+y=26

xy=165xy=165

x=15,  y=11x=15,\;y=11

26+2165=15+11\sqrt{26+2\sqrt{165}}=\sqrt{15}+\sqrt{11}