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0 <\sqrt[4]{n}- [\sqrt[4]{n}]< 10^{-5}

Source: Israel Grosman Memorial Mathematical Olympiad 1999 p2

February 15, 2020

inequalitiesalgebra

Problem Statement

Find the smallest positive integer

n

for which

0 <\sqrt[4]{n}- [\sqrt[4]{n}]< 10^{-5}