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Find the greatest integer less than or equal to (√2 +1)^6
((√2+1)^2)^3(3+2√2)^3On solving further we get 108.898 and greatest integer of this is 108.Ans=108
Dear student Value of sqrt(2) = 1.41421 NowSqrt(2) + 1 = 2.41421Now2.41421^6 = 197.99.....But it will never touch 198 Hence its greatest integer value = 197 RegardsArun (askIITians forum expert)
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