Question

Insert two irrational numbers between 5 and 6.

Answer 1

We know that 5 = √25 and 6 = √36.

Thus, consider the numbers.

√25 < √26 < √27 < √28 < √29 < √30 < √31 < √32 < √33 < √34 < √35 < √36.

Therefore, any two irrational numbers between 5 and 6 is √27 and √28.