How to solve the equation x^8 - 64 = 0?

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We have to solve x^8 - 64 = 0

Now 64 = 2^6

x^8 - 64 = 0

=> x^8 = 64

=> x^8 = 2^6

=> x = 2^(6/8)

=> x = 2^(3/4)

=> x = 8^(1/4)

=> x=  sqrt [2*sqrt 2] and x = -sqrt [2*sqrt 2]

The values of x are x=sqrt [2*sqrt 2] and x=-sqrt [2*sqrt 2]

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