Sqrt Quotient 0F556D

1. **State the problem:** We need to find the square root of the quotient of $11$ and $6$. 2. **Write the expression:** The quotient of $11$ and $6$ is written as $$\frac{11}{6}$$. 3. **Apply the square root:** We want to find $$\sqrt{\frac{11}{6}}$$. 4. **Simplify if possible:** Since $11$ and $6$ have no common factors, the fraction cannot be simplified further. 5. **Express the square root of a fraction:** $$\sqrt{\frac{11}{6}} = \frac{\sqrt{11}}{\sqrt{6}}$$. 6. **Rationalize the denominator:** Multiply numerator and denominator by $$\sqrt{6}$$ to remove the square root from the denominator: $$\frac{\sqrt{11}}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}} = \frac{\sqrt{11} \times \sqrt{6}}{\sqrt{6} \times \sqrt{6}} = \frac{\sqrt{66}}{6}$$. 7. **Final answer:** $$\sqrt{\frac{11}{6}} = \frac{\sqrt{66}}{6}$$. This is the simplest exact form of the square root of the quotient of $11$ and $6$.