Question

Find a rational number with one decimal place that is between √17 and √18

Answer 1

To find a rational number with one decimal place between √17 and √18, we need to approximate the values of √17 and √18 and then find a rational number in between.

Approximating √17:
Using a calculator, we find that √17 ≈ 4.123105625617661.

Approximating √18:
Using a calculator, we find that √18 ≈ 4.242640687119285.

Since we want a rational number with one decimal place between √17 and √18, we will round the values to one decimal place.

Approximated √17: 4.1
Approximated √18: 4.2

Now, we need to find a rational number between 4.1 and 4.2. One way to do this is to take the average of these two values:

Average of 4.1 and 4.2 = (4.1 + 4.2)/2 = 8.3/2 = 4.15

Therefore, a rational number with one decimal place between √17 and √18 is 4.15.