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]**

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]**