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The-integral-part-of-8-3-7-20-is-even-




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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