Approximate evaluation: √(625.04) × 16.96 + 136.001 ÷ 17 ≈ ?

Introduction / Context:
Two near-integer computations are combined: a square root close to 25 multiplied by about 17, plus a small division term. We select the closest whole-number option.

Given Data / Assumptions:

• Compute: √(625.04) × 16.96 + 136.001 ÷ 17.
• √(625.04) ≈ 25.001; 16.96 ≈ 17.

Concept / Approach:
Compute the main product using the near-integer square root, add the small correction from 136.001 ÷ 17, and choose the closest integer from the options.

Step-by-Step Solution:

Verification / Alternative check:
A precise calculator estimate gives about 432.01, which rounds to 432. However, among the options, 433 is the nearest integer, and 425 is too low by ~7. Hence 433 is the best match.

Why Other Options Are Wrong:

• 4.18 or 4.41: Totally off-scale (misread units or decimal point).
• 425: Undershoots the accurate total by ~7–8.

Common Pitfalls:
Rounding the square root too coarsely or forgetting to add the division component. In approximation problems, always consider both parts before rounding to the nearest listed value.

Final Answer: