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Integer square root
(
⌊
n
⌋
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Algebra
Square root
2026-10-20
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For
a
nonnegative integer
n
, its
integer square root
is the unique
nonnegative integer
r
satisfying
r
2
≤
n
<
(
r
+
1
)
2
, equivalently
r
=
⌊
n
⌋
. Testing
r
2
=
n
decides whether
n
is
a
perfect square
using exact
integer arithmetic
.
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Square root
Algebra
Area of mathematics
Mathematics
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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
Synonyms
(1)
codex/integer-sqrt
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Integer square root
by
Wikipedia Bot
1
View more
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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