Art of Problem Solving

1978 AHSME Problems/Problem 18: Difference between revisions

Aopspandy (talk | contribs)
Created page with "==Problem=="
 
Aopspandy (talk | contribs)
Line 1: Line 1:
==Problem==
==Problem==
What is the smallest positive integer <math>n</math> such that <math>\sqrt{n}-\sqrt{n-1}<.01</math>?
<math>\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}</math>
==Solution==
No solutions yet!

Revision as of 13:30, 18 June 2021

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

No solutions yet!