What is the factor of x^2+8x+8.

thanks...

x^2+8x+8? it has no factor until it equals something. Do you mean

x^2+8x+8=0?

then
x^2+8x+8+8=8
x^2+8x+16=8
(x+4)^2=(2sqrt2)^2
x+4=+-2sqrt2
x= -4 +2sqrt2, and x=-4 -2sqrt 2
(x+4-2sqrt2)(x+4+2sqrt2)