Rational Number:

When a number is written in form

                    P/q

where p,q is any natural number & 

q not equal to zero .

Irrational Number:

An irrational number are a real number that can not be written as a fraction.

It means not rational number .

Example of irrational number -

1. 

π is an irrational number because 

It's value is π = 3.1415926535 -----------

It mean that it is not written in the form of fraction .

2.

√2,√3,are the other example

3.

Base of natural logarithm (ln) e:

Often called Euler number is an irrational number

The value of e = 2.718281828459045235360287471------------

The e constant is divined as the limit 

e  = limit (1+1/x)^x

       x tends to infinite

The value of e is also divined as 1+1/1!+1/2!+1/3!+-------

Where ! Is the sign of factorial

Example of Rational number:

1.

1/3 ,2/6,3/4,16/68 are the rational number because all of these can be presented in the form of fraction .

Questions 1: difine which is an irrational number -

a. 3.14.                     b. √26

c. .33.                        d. .05 

Answer : b

Because it is not written in the form of fractional number

a. 3.14 is a rational number because it can be written as 22/7 which is a fractional form .

c. .33 = 10/3 .

d. .05 = 5/100 = 1/20 .