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1978 AHSME Problems/Problem 18

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Problem

What is the smallest positive integer $n$ such that $\sqrt{n}-\sqrt{n-1}<.01$ ?

$\textbf{(A) }2499\qquad \textbf{(B) }2500\qquad \textbf{(C) }2501\qquad \textbf{(D) }10,000\qquad \textbf{(E) }\text{There is no such integer}$

Solution

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