b By making suitable approximations, estimate the value of \( \frac{38.982 \times \sqrt{8.8536}}{6.0122} \). Show clearly the approximate value you use.

To estimate the value of \( \frac{38.982 \times \sqrt{8.8536}}{6.0122} \), we can make some approximations to simplify the calculation. First, let's approximate the square root of 8.8536. Since 8.8536 is close to 9, we can approximate \( \sqrt{8.8536} \) as \( \sqrt{9} \), which is 3. Next, let's approximate 38.982. Since 38.982 is close to 39, we can use 39 as an approximation. Finally, let's approximate 6.0122. Since 6.0122 is close to 6, we can use 6 as an approximation. Now, let's perform the calculation with these approximations: \( \frac{39 \times 3}{6} \) This simplifies to: \( \frac{117}{6} \) Which further simplifies to: \( 19.5 \) So, the estimated value of \( \frac{38.982 \times \sqrt{8.8536}}{6.0122} \) is approximately 19.5.