Sweet Binomial

Compute the last digit, when written in base 10, of ( 2 + 3 ) 17 + ( 2 3 ) 17 \left(2+\sqrt3\right)^{17}+\left(2-\sqrt3\right)^{17}


The answer is 4.

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1 solution

Sakshi Rathore
Jul 1, 2015

just find 2 to the power 17 last digit and multiply it by 2

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