Question

Insert 5 irrational numbers between 2√3 and 3√2​

Answer 1

Answer:

 32 and 23 are irrational numbers.

Here, (32)2=18 and (23)2=12.

Now we will find non-whole square numbers between 12 and 18 and on taking their square roots, we get the required irrational numbers.

That is, 12<13<14<15<17<18 (Since 16 is a whole square)

Therefore,  23<13<14<15<17<32.

Then three different irrational number between 32 and 23 can be:

13, 14 and 15.

NOTE:

This is three of the possible answers. It might have different solution.