Maple 7 gives both sides the value 0.92227684711757969, agreeing with your answer, and minimal polynomial: x^75 - 125*x^60 + 40000*x^45 + 2375000*x^30 + 32159375*x^15 - 9765625. On Wed, Dec 17, 2008 at 4:58 PM, Eugene Salamin <gene_salamin@yahoo.com> wrote:
Maple 12:
FifthRoot2 := evalf(2^(1/5)); 1.148698355
FifthRoot3 := evalf(3^(1/5)); 1.245730940
CubeRoot5 := evalf(5^(1/3)); 1.709975947
Left := (FifthRoot3^3-FifthRoot2)^(1/3); 0.9222768479
Right := (-FifthRoot2*FifthRoot3^3+FifthRoot2^3*FifthRoot3^2+FifthRoot3+FifthRoot2^2)/CubeRoot5^2; 0.9222768470
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