Question

an irrational number between 3 and 4 is

Answer 1

An irrational number is a number which neither terminate nor repeat. 

So you can find infinite number of irrational number between two numbers. 

Just remember that number's decimal expansion should not terminate nor repeat. 

So two numbers could be 

3.1210100100010000100000.. 

3.9212122122212222122222.. 

These are the two irrational numbers between the two given numbers you can find unlimited irrational numbers between the two. 

A terminating decimal expansion is a decimal expansion that has a end like three point two. 

Hope you got it.