Question

an irrational number between 2 and 3 is




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Answer 1

There are infinite irrational numbers between 2 and 3.

Some of the examples are : 2.3333333333333333333333, 2.1415926535859, 2.999999999999, etc

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Answer 2

Step-by-step explanation:

there are two ways to write this

1. through decimal representation

2. using surds

1. any non terminating non recurring decimal number is an irrational number. so an example here is

2.01001000100001.......

2. we will, for convenience, conver the numbers into square root number

2 = √4

3 = √9

then √5, √6, √7, √8 all lie in between 2 and 3

In general we may easily find an irrational number between any two rational numbers a and b as √ab.