Solve the equation.
-$$x ^ { 2 } = - 8$$
A) $\pm 2 \sqrt { 2 }$
B) $\pm 4 \sqrt { 2 }$
C) $\pm 2 \mathrm { i } \sqrt { 2 }$
D) $\pm 4 \mathrm { i } \sqrt { 2 }$

Question

Quizplus · Accepted Answer

The equation $x^2 = -8$ can be solved by taking the square root of both sides, leading to $x = \pm \sqrt{-8}$. Since the square root of a negative number involves the imaginary unit $i$, where $i^2 = -1$, the solution is $x = \pm \sqrt{8}i$, which simplifies to $\pm 2\sqrt{2}i$.

Solve the Equation x2=−8x ^ { 2 } = - 8x2=−8

Solve the Equation $x ^ { 2 } = - 8$