1. The problem is to find the square root of 220. 2. The square root of a number $x$ is a value $y$ such that $y^2 = x$. 3. We want to find $\sqrt{220}$. 4. Since 220 is not a perfect square, we simplify by factoring: $$220 = 4 \times 55$$ 5. Using the property $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$, we get: $$\sqrt{220} = \sqrt{4} \times \sqrt{55}$$ 6. We know $\sqrt{4} = 2$, so: $$\sqrt{220} = 2 \times \sqrt{55}$$ 7. $\sqrt{55}$ cannot be simplified further because 55 factors into 5 and 11, both prime. 8. Therefore, the simplified form of $\sqrt{220}$ is: $$2\sqrt{55}$$ 9. For an approximate decimal value, $\sqrt{220} \approx 14.8324$. Final answer: $\boxed{2\sqrt{55} \approx 14.8324}$