Solve the quadratic equation by taking square roots. Simplify your answer.

Answer:
[tex]x=\pm4\sqrt[]{2}[/tex]Step-by-step explanation:
Simplify the following equation:
[tex]\frac{x^2}{4}-8=0[/tex]Using inverse operations to solve equations, isolate x.
[tex]\begin{gathered} x^2=8\cdot4 \\ x^2=32 \\ x=\pm\sqrt[]{16\cdot2} \\ x=\pm4\sqrt[]{2} \end{gathered}[/tex]