Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus
During AMC testing, the AoPS Wiki is in read-only mode and no edits can be made.

2025 SSMO Tiebreaker Round Problems/Problem 2

Problem

Determine the largest positive integer $n$ satisfying \[\frac{\sqrt{n+1} - \sqrt{n}}{\sqrt{n+2026} - \sqrt{n+2025}} > 2.\]

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2025_SSMO_Tiebreaker_Round_Problems/Problem_2&oldid=260072"