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

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

Grade:11

2 Answers

Pawas narware
19 Points
6 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
Arun
25750 Points
6 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)

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