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2
2014 HMMT #2: Closest integer
2014 HMMT #2: Closest integer
Source:
February 23, 2014
HMMT
Problem Statement
Find the integer closest to
1
5
4
+
1
4
−
5
4
−
1
4
\frac{1}{\sqrt[4]{5^4+1}-\sqrt[4]{5^4-1}}
4
5
4
+
1
−
4
5
4
−
1
1
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