Question

irrational number between 3 and 4

Answer 1

Say that I want to find an irrational number between 3 and 4. It could be3.14159625…(AKA pi). In fact, any number that is non terminating and non repeating between 3 and 4 is an irrational number and infinitely many different numbers like this can be generated between 3 and 4.

Answer 2

You want to find an irrational number between 3 and 4. Let it number be x.

3 < x < 4

Square the expression above

9 < x² < 16

You can pick up any integer between 9 and 16 for x² and take its positive square root. For example:

x² = 11

x = sqrt(11) is an irrational number

x² = 15

x = sqrt(15) is another irrational number

x² = 12

x = sqrt(12) = 2 sqrt(3) is another

Hope it helps...

Thank you...