Question

find one rartional and ine irrational number between 2 and root 5

Answer 1

Here is the answer :

Given numbers :
2, √5,

A rational number is a number which can be expressed in the form of p/q, Where q ≠ 0, and p and q are co-primes,

The number that isn't a Rational is known to be irrational in General,

Now, We have infinite rational numbers between 2 and √5,

2 = √4,

Now we need to find rational numbers between √4, and √5,

General assumption can't be taken here, So let's consider Nearest decimal point of these roots,

=> √4 = 2,

=> √5 = 2.236....

=> Rational numbers between them are 2.1, 2.11, 2.111, 2.1111, 2.12, 2.13 and so on upto 2.23(Approx),

Irrational numbers between √4 and √5 are
√(4.1) , √(4.2) , √(4.3) and so on,

This is because Root of Non-Perfect square is irrational,

Therefore :
One of the Rational number : 2.1,
One of the irrational number : √(4.1)

Hope you understand, Have a Great day :D,
Thanking you, Bunti 360 !.