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Swedish Mathematical Competition
1964 Swedish Mathematical Competition
3
3
Part of
1964 Swedish Mathematical Competition
Problems
(1)
integer P(x) with roots \sqrt2 + \sqrt3 and \sqrt2 + \sqrt[3]{3}
Source: 1964 Swedish Mathematical Competition p3
3/21/2021
Find a polynomial with integer coefficients which has
2
+
3
\sqrt2 + \sqrt3
2
+
3
and
2
+
3
3
\sqrt2 + \sqrt[3]{3}
2
+
3
3
as roots.
radical
Integer Polynomial
polynomial
algebra