We approximate the values of each expression to compare them.
First, compute the numerical values:
\(4√3 ≈ 6.928, 9√2 ≈ 12.727, 6√5 ≈ 13.416, 6√7 ≈ 15.874. \)
Therefore, the increasing order is B
List I | List II | ||
| A. | \(\sqrt{\frac{0.81\times0.484}{0.064\times6.25}}\) | I. | 0.024 |
| B. | \(\sqrt{\frac{0.204\times42}{0.07\times3.4}}\) | II. | 0.99 |
| C. | \(\sqrt{\frac{0.081\times0.324\times4.624}{1.5625\times0.0289\times72.9\times64}}\) | III. | 50 |
| D. | \(\sqrt{\frac{9.5\times0.085}{0.0017\times0.19}}\) | IV. | 6 |