A Units Digit via Conjugates

★ 7/10number theory Recursion algebra Modular Arithmetic

Problem

Find the units digit of $\left(5 + \sqrt{22}\right)^{2016}$ , i.e., of $\left\lfloor\left(5 + \sqrt{22}\right)^{2016}\right\rfloor$ .

Answer

Solution

Difficulty	7/10
Topics	number theory, Recursion, algebra, Modular Arithmetic

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