Solve by extracting square roots
-$x^{2}=24$
A) $\{ \pm 12\}$
B) $\{ \pm 2 \sqrt{6}\}$
C) $\{ \pm 6 \sqrt{2}\}$
D) $\{576\}$

Question

Quizplus · Accepted Answer

To solve $x^{2} = 24$ by extracting square roots, we take the square root of both sides, resulting in $x = \pm \sqrt{24}$. Simplifying $\sqrt{24}$ gives $\sqrt{4 \cdot 6} = \sqrt{4} \cdot \sqrt{6} = 2\sqrt{6}$, so the solutions are $\{ \pm 2 \sqrt{6}\}$.

Solve by Extracting Square Roots - x2=24x^{2}=24x2=24 A) {±12}\{ \pm 12\}{±12} B) {±26}\{ \pm 2 \sqrt{6}\}{±26​}

Solve by Extracting Square Roots
- $x^{2}=24$ A) $\{ \pm 12\}$ B) $\{ \pm 2 \sqrt{6}\}$