Answer:
X = -2
Step-by-step explanation:
X^3 + 8 = 0
X^3 = -8
X = -8 ^ (1/3)
-2
f(x)=x^3+8
Set it equal to 0
0 = x^2 +8
Subtract 8 from each side
-8 = x^3+8-8
-8 = x^3
Take the cube root of each side
-8 ^ 1/3 = x^3 ^ 1/3
-2 = x
The only real root is -2
