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UKMT Pink Kangaroo, 2018

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

In the calculation shown, how many times does the term 201822018^2 appear inside the square root to make the calculation correct?

20182+20182+…+20182=201810\sqrt{2018^2+2018^2+\ldots+2018^2}=2018^{10}

(A) 55 (B) 88 (C) 1818 (D) 201882018^8 (E) 2018182018^{18}

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