Question

Which irrational number is between date root of 14 and 18

Answer 1

To find an irrational number between the square roots of 14 and 18, we can first establish the approximate values of these square roots:

- The square root of 14 (\( \sqrt{14} \)) is approximately 3.74.
- The square root of 18 (\( \sqrt{18} \)) is approximately 4.24.

An irrational number that lies between these two values can be \( \sqrt{15} \), which is approximately 3.87.

Thus, \( \sqrt{15} \) is an irrational number that falls between \( \sqrt{14} \) and \( \sqrt{18} \).