Question

What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

Answer 1

Good night,

Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as:
`(1289)/(100)`


`(12)/(144)= (1)/(12)`

The above numbers can be expressed as a fraction, then the logical answer is:
`√(12)`

But we will check the answer:


`√(12)= \sqrt{2^(2)*3 } =2* √(3) =3.4641016...`

As you can see we can't express that number as a fraction, so that is te correct answer.