Factor completely x^8-8x^4+12

x = √√6, x = √√2

Step-by-step explanation:

x^8 - 8x^4 + 12

treat x^4 as the value "u". This will just make things less confusing.

u^2 - 8u + 12

looks familiar right?

(u - 6) (u - 2)

you can change u to x^4 now.

(x^4 - 6) (x^4 - 2)

x^4 = 6 and x^4 = 2

x = √√6 x=√√2