What is the approximate value of the expression:

$$39.842\% ext{ of } \sqrt{3022} + 50.11\% ext{ of } 2129.74 = ?$$

(You are not required to find the exact value, just the approximate one.)

Question

What is the approximate value of the expression:

$$39.842\% 	ext{ of } \sqrt{3022} + 50.11\% 	ext{ of } 2129.74 = ?$$

(You are not required to find the exact value, just the approximate one.)

Accepted Answer

**Solution:**

1. First, approximate the square root term:
   - $\sqrt{3022}$ is close to $\sqrt{3025}$ because $3025 = 55^2$.
   - So, $\sqrt{3022} \approx 55$.

2. Calculate $39.842\%$ of $55$:
   - $39.842\% \approx 40\%$ for approximation.
   - $40\%$ of $55 = \frac{40}{100} 	imes 55 = 22$.

3. Approximate $50.11\%$ of $2129.74$:
   - $50.11\% \approx 50\%$.
   - $50\%$ of $2129.74 = \frac{50}{100} 	imes 2129.74 = 1064.87 \approx 1065$.

4. Add the two results:
   - $22 + 1065 = 1087$.

**Answer:** $1087$

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