Solve the following polynomial equations for x simplifying

Solve the following polynomial equations for x , simplifying your answers completely NO decimals:

Solve the following polynomial equations for x, simplifying your answers completely NO decimals: x^4 - 64 = 0

x^4 - 64 = 0

we can write it as

(x^2)^2 - (8)^2 = 0

applying difference of squares formula

(x^2 - 8 ) ( x^2 + 8 ) = 0

x^2 - 8 = 0

x^2 = 8

x = + - sqrt 8

x^2 + 8 = 0

x^2 = -8

x = +- sqrt 8i

therefore, 4 solutions are

x = + sqrt 8 , - sqrt 8 , + sqrt 8i , - sqrt 8i