1. State the problem: We need to estimate the value of $\sqrt{4.92} + 2.18 \times 7.31$. 2. Estimate $\sqrt{4.92}$: Since $\sqrt{4.92}$ is close to $\sqrt{4.9}$, and $\sqrt{4.9}$ is about $2.213$ because $2.213^2 \approx 4.9$. 3. Calculate $2.18 \times 7.31$: Multiply these two numbers. $$2.18 \times 7.31 = 15.9358$$ 4. Add the results: $$2.213 + 15.9358 = 18.1488$$ 5. Final Answer: An estimate for $\sqrt{4.92} + 2.18 \times 7.31$ is approximately $18.15$.