I know that 1+√5 = 3√(2+√5) = 1.618033989 2 but what is the math behind it specifically a way to simplify 3√(2+√5) to 1+√5 2 Thanks
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Just to make this clear its (1+√5)/2 which equals 3√(2+√5) I hope that is clear.
Hello, Originally Posted by Smoriginal Just to make this clear its (1+√5)/2 which equals 3√(2+√5) I hope that is clear. $\displaystyle \frac{1+\sqrt{5}}{2}=\sqrt[3]{2+\sqrt{5}}$ You can prove it by cubing both sides. This is all I can see for the moment... (note : $\displaystyle (a+b)^3=a^3+b^3+3ab^2+3a^2b$)
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