Find the Roots (Zeros) f(x)=x^3-2

$f (x) = x^{3} - 2$

Step 1

Set $x^{3} - 2$ equal to $0$ .

$x^{3} - 2 = 0$

Step 2

Solve for $x$ .

Add $2$ to both sides of the equation.

$x^{3} = 2$

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[3]{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt[3]{2}$

Decimal Form:

$x = 1.25992104 \dots$

Step 4