SOLUTION: Find irrational number between 5/7 and 9/11

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Question 1083816: Find irrational number between 5/7 and 9/11

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

The square root of their product is between them and irrational.

5/7 and 9/11

sqrt%28%285%2F7%29%289%2F11%29%29%22%22=%22%22sqrt%289%2A5%2F77%29%22%22=%22%223sqrt%285%2F77%29 

Note:

5/7 is approximately 0.7142857143

9/11 is approximately 0.81818181812

Both those are rational numbers.

3sqrt%285%2F77%29 is approximately 0.7644707872

It is irrational and between 5/7 and 9/11.

Edwin