Show that if x and y are integers such that x^2 − 2 = y^3 , then there are elements u and β of Z[Sqrt(2)], with u a unit, such that x + √2 = u(β^3).

Any ideas? :-s

Many thanks in advance. x :-)

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- May 13th 2009, 03:13 PMAAMUnits question....
Show that if x and y are integers such that x^2 − 2 = y^3 , then there are elements u and β of Z[Sqrt(2)], with u a unit, such that x + √2 = u(β^3).

Any ideas? :-s

Many thanks in advance. x :-)