Question

Find two irrational numbers between 2 and 3.​

Answer 1

Step-by-step explanation:

To find an irrational number between two rational numbers, we find a number which is non-terminating non-recurring lying between them.

2.3415...., 2.1587...., 2.6548...., 2.5478..... are some of the irrational numbers between 2 and 3.

Answer 2

$\boxed{\bold{\sf{IRRATIONAL\:NUMBERS}}}$

The numbers which cannot be expressed in the form of p/q where p and q are integers and q is not equal to 0 are called as irrational numbers.

These are non-terminating non-repeating decimals.

We have to find two irrational numbers between 2 and 3

2 and 3 are ration numbers.

So,

The required irrational numbers can be as follows :-

$\rule{200}{2}$

$= 2.001000100001000001....$

$\rule{200}{2}$

Or

$= 2.51551555155551.......$

$\rule{200}{2}$

Or,

$= 2.0123654786544126......$

$\rule{200}{2}$

Or,

$=2.9113399301......$

$\rule{200}{2}$

Or,

$=2.45645566455566645555....$

$\rule{200}{2}$

Or,

$=2.90990999099990999990....$

$\rule{200}{2}$

$\rule{200}{2}$

There can be infinite such numbers.