Question

find one irrational number and one rational number between 2 and root5

Answer 1

Dear student
We know that irrational numbers can't be represented in the form of p/q also which are no repeating. root(3) = 1.732, root(5) = 2.236.
So, irrational numbers between root 3 and root 5 are 1.798779, 2.0100, 2.1212.

Given irrational numbers are sqrt(3) and sqrt(5)

Sqrt(3) = 1.732

Sqrt(5) = 2.23

Sqrt(3) < 1.74

Sqrt(5) < 2.24

In between 2.24 and 1.74 numbers are rational numbers like 1.8,1.9,2,2.1.

Regards