Question

Name an irrational number ( in radical form ) located between 7 and 8. Explain your answer.

Answer 1

`√(59)`

Explanation:

7^2 is 49 and 8^2 is 64, which means the square root of any number between 49 and 64 (exclusive) will be in between 7 and 8, and it's also going to be irrational, because it's not a perfect square.

One number between 49 and 64 is 59, so
`√(59)` is an irrational number between 7 and 8