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Question Number 63909 by gunawan last updated on 11/Jul/19

The integral part of (8 + 3(√7) )^(20)  is even.

Theintegralpartof(8+37)20iseven.

Commented by gunawan last updated on 11/Jul/19

true or false

trueorfalse

Answered by Hope last updated on 11/Jul/19

  (8+3(√7) )^(20)   8^(20) +20c_1 8^(19) (3(√7) )+20c_2 (8^(18) )(3(√7) )^2 +...+(3(√7) )^(20)   last term is integral part →3^(20) ×7^(10)  but it is odd  so sum of all integral part is odd  given statement is false

(8+37)20820+20c1819(37)+20c2(818)(37)2+...+(37)20lasttermisintegralpart320×710butitisoddsosumofallintegralpartisoddgivenstatementisfalse

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