Question

Evaluate to three significant figures
√0.0072*81.3²/23140

Answer 1

To evaluate the expression \( \frac{\sqrt{0.0072} \times 81.3^2}{23140} \) to three significant figures, we will calculate it step by step.

1. **Calculate \( \sqrt{0.0072} \)**:
\[
\sqrt{0.0072} \approx 0.08485
\]

2. **Calculate \( 81.3^2 \)**:
\[
81.3^2 = 6617.69
\]

3. **Multiply \( \sqrt{0.0072} \) by \( 81.3^2 \)**:
\[
0.08485 \times 6617.69 \approx 562.561
\]

4. **Divide by 23140**:
\[
\frac{562.561}{23140} \approx 0.0243
\]

Finally, rounding \( 0.0243 \) to three significant figures gives us:
\[
\boxed{0.0243}
\]