Question

(2-5^1/2)^1/3+(2+5^1/2)^1/3

Answer 1

$(2-5^ frac{1}{2} )^ frac{1}{3} +(2+5^ frac{1}{2} )^ frac{1}{3} =(2- sqrt{5} )^ frac{1}{3} +(2+ sqrt{5} )^ frac{1}{3} = sqrt[3]{2- sqrt{5} } +$
$sqrt[3]{2+ sqrt{5} } =1$