Question

How to find irrational number between two rational number

Answer 1

Answer:

irrational number are those which are not written in the form of p/ q

Answer 2

Square numerators and denominators of the (in this case: both) fractions.

Find LCD (Lowest Common Denominator) for denominators and convert all fractions to this LCD.

The numerators of the fractions are now perfect squares. Write a new fraction with a numerator that is not a perfect square and between the original fractions' numerators.

Put the new fraction inside a square root. The new fraction (inside a square root sign) is now a surd, and an irrational number (also an irrational fraction).

Using this method, 3764−−√ would be one such irrational number between 34 and 78.