Maths Olympiad Prep

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, 2019

Algebra Difficulty 2.0 Junior Prove it United Kingdom

What is the value of A2+B3+C5A^2 + B^3 + C^5, given that: A=1623A = \sqrt[3]{16\sqrt{2}}, B=993B = \sqrt{9\sqrt[3]{9}}, C=[(25)2]2C = \left[\left(\sqrt[5]{2}\right)^{2}\right]^{2}

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