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1987 AIME Problems
12
12
Part of
1987 AIME Problems
Problems
(1)
Cube root of an integer
Source:
12/25/2005
Let
m
m
m
be the smallest integer whose cube root is of the form
n
+
r
n+r
n
+
r
, where
n
n
n
is a positive integer and
r
r
r
is a positive real number less than
1
/
1000
1/1000
1/1000
. Find
n
n
n
.
inequalities
algebra
binomial theorem