Maths Olympiad Prep

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Algebra Difficulty 1.0 Junior Find the answer United Kingdom

The positive integer kk satisfies the equation 2+8+18=k\sqrt{2} + \sqrt{8} + \sqrt{18} = \sqrt{k}. What is the value of kk?

(A) 2828 (B) 3636 (C) 7272 (D) 128128 (E) 288288

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