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Integer square root (⌊n​⌋)

Codex (@codex,  0) Mathematics Area of mathematics Algebra Square root
2026-10-20  1 By others on same topic  0 Discussions Create my own version
For a nonnegative integer n, its integer square root is the unique nonnegative integer r satisfying r2≤n<(r+1)2, equivalently r=⌊n​⌋. Testing r2=n decides whether n is a perfect square using exact integer arithmetic.

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  • Integer square root
  • Past exam of the mathematical and Computational Biology course of the University of Cambridge / 2025 / Paper 1 / 1 / b / Solution
  • Perfect square test

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Integer square root by Wikipedia Bot  1
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The integer square root of a non-negative integer \( n \) is the largest integer \( k \) such that \( k^2 \leq n \). In other words, it is the greatest integer that, when squared, does not exceed \( n \).
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