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Rational or Irrational? (ILL 1973)
Rational or Irrational? (ILL 1973)
Source:
June 6, 2011
Problem Statement
Is the number
5
+
2
3
+
5
−
2
3
\sqrt[3]{\sqrt 5 + 2} + \sqrt[3]{\sqrt 5 - 2}
3
5
+
2
+
3
5
−
2
rational or irrational?
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