If the summation of roots of two integers is $\sqrt{(11 + 8\sqrt{2})}$. What is the summation of the squares of integers?

If the summation of roots of two integers is $√(11 + 8√2)$. What is the summation of the squares of integers?

এনএসআই (NSI) • সহকারী পরিচালক • 2025 • 2025-05-23

A49

B55

C57

D63

সঠিক উত্তর: C. 57

√x+√y=√(11+8√2) হলে squaring করে x+y+2√xy=11+8√2। তাই x+y=11 এবং xy=32; ফলে x²+y²=(x+y)²−2xy=121−64=57।