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The greatest internet less than or equal to (√2 + 1)^6 is ? [Ans - 197] Please explain.

The greatest internet less than or equal to (√2 + 1)^6 is ?
[Ans - 197] Please explain. 

Grade:12

1 Answers

Arun
25750 Points
6 years ago
 
Dear Ankush
 
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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