assignment \( \leftarrow \quad \) Solve the quadratic equation \( r^{2}=8 \).

To solve the equation \( r^{2} = 8 \), we can take the square root of both sides. Remember that taking the square root can yield both positive and negative results. So, we get: \( r = \sqrt{8} \) or \( r = -\sqrt{8} \). We can simplify \( \sqrt{8} \) further: \( \sqrt{8} = \sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2} \). Thus, the two solutions for the equation are: \( r = 2\sqrt{2} \) and \( r = -2\sqrt{2} \).