Find the Roots (Zeros) x^3-27i=0

$x^{3} - 27 i = 0$

Step 1

Add $27 i$ to both sides of the equation.

$x^{3} = 27 i$

Step 2

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

$x = \sqrt[3]{27 i}$

Step 3

Simplify $\sqrt[3]{27 i}$ .

Rewrite $27$ as $3^{3}$ .

$x = \sqrt[3]{3^{3} i}$

Pull terms out from under the radical.

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

Step 4