Solve the equation by the square root property. ${x}^{2} = 8$
- $\left\{ \sqrt { 8 } \right\} $
- $\left\{ 64 \right\} $
- $\left\{ \pm 2\sqrt { 2 } \right\} $
- $\left\{ 4 \right\} $
Reveal answer
Fill a bubble to check yourself
C
Correct answer
Explanation
x^2 = 8 implies x = +sqrt(8) or x = -sqrt(8). sqrt(8) = 2*sqrt(2). Thus, the solutions are {2*sqrt(2), -2*sqrt(2)}.
AI explanation
The square root property states that if x^2 = k, then x equals plus or minus the square root of k. Applying this to the equation x^2 = 8 gives x = plus or minus the square root of 8. Since the square root of 8 can be simplified by factoring out a perfect square, it becomes 2 times the square root of 2. The solution set is {plus or minus 2 times square root of 2}.