Question

Find a rational number with one decimal place that is between 17−−√ and 18−−√ .(1 point)

Answer 1

To find a rational number between two irrational numbers, we can convert the irrational numbers into decimals and then find a decimal that lies between them.

First, let's convert the irrational numbers into decimals using a calculator:

√17 ≈ 4.123105625617661
√18 ≈ 4.242640687119285

Next, we can find a decimal between these two:

4.123 < x < 4.242

One decimal place between these numbers could be 4.2.

Therefore, a rational number with one decimal place between √17 and √18 is 4.2.