Question

irrational number between 2&3

Answer 1

Irrational numbers are always approximations of a value, and each one tends to go on forever. Roots of all numbers that are not perfect squares(NPS) are irrational, as are some useful values like π and e.

To find the irrational numbers between two numbers like 2and3 we need to first find squares of the two numbers which in this case are 22=4and32=9.

Now we know that the start and end points of our set of possible solutions are 4and9respectively. We also know that both 4and9are perfect squares because squaring is how we found them.

Then using the definition above, we can say that the root of all NPS numbers between the two squares we just found will be irrational numbers between the original numbers. Between 4and9we have 5,6,7,8; whose roots are √5,√6,√7,√8.

The roots of these will be irrational numbers between 2and3.

Eg: √8≈2.82842712474619............... where the wavy lines mean approximately, or, we will never have the exact numerical answer.

Answer 2

2.34556898849949.......
2.3949949989983......
all these are irrational numbers btw 2 ñ 3
non terminating and recurring numbers are irrational here..

hope this helps you