O Quadratic and Polynomial Functions Solving a quadratic equation using the square root property: Decimal. Solve \( 2 u^{2}=88 \), where \( u \) is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

To solve the equation \( 2 u^{2} = 88 \), start by dividing both sides by 2 to isolate the \( u^{2} \) term: \[ u^{2} = \frac{88}{2} = 44 \] Next, take the square root of both sides: \[ u = \pm \sqrt{44} \] Simplifying \( \sqrt{44} \), we find: \[ \sqrt{44} = \sqrt{4 \times 11} = 2\sqrt{11} \] Using a calculator to find the decimal approximation of \( \sqrt{11} \) gives about 3.32. Thus: \[ u \approx \pm 2 \times 3.32 = \pm 6.64 \] Finally, rounding to the nearest hundredth, the solutions are: \[ u \approx 6.64, -6.64 \]