Question

Find the value of
(2+(5)½)⅓ +(2-(5)½)⅓

Answer 1

[2+(5)1/2]1/3+[2-(5)1/2]1/3

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

=(9/2)1/3+(-1/2)1/3

=9/6+(-1/6)

=8/6

=4/3

Therefore,

[2+(5)1/2]1/3+[2-(5)1/2]1/3 = 4/3

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