Evaluate:
$$I = \sqrt{2^{2014} + 2^{2011} + 2^{2006}} \pmod{17}$$
$$I = \sqrt{2^{2006}\cdot (1 + 2^{5} + 2^{8} )} \pmod{17} = 2^{1003} \cdot \sqrt{2^8 + 2^5 + 1} \pmod{17}$$
The answer is $0$ somehow, how should I do this?
Evaluate:
$$I = \sqrt{2^{2014} + 2^{2011} + 2^{2006}} \pmod{17}$$
$$I = \sqrt{2^{2006}\cdot (1 + 2^{5} + 2^{8} )} \pmod{17} = 2^{1003} \cdot \sqrt{2^8 + 2^5 + 1} \pmod{17}$$
The answer is $0$ somehow, how should I do this?
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