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Grade 11Algebra

Find the greatest integer less than or equal to (√2 +1)^6

Profile image of Abir
8 Years agoGrade 11
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2 Answers

Profile image of Pawas narware
8 Years ago
((√2+1)^2)^3(3+2√2)^3On solving further we get 108.898 and greatest integer of this is 108.Ans=108
Profile image of Arun
8 Years ago
Dear student
 
Value of sqrt(2) = 1.41421
 
Now
Sqrt(2) + 1 = 2.41421
Now
2.41421^6 = 197.99.....
But it will never touch 198
 
Hence its greatest integer value = 197
 
Regards
Arun (askIITians forum expert)