# What is the set of numbers to which #sqrt24# belongs?

##### 1 Answer

Mar 13, 2018

#### Explanation:

If you work out

But the number does not stop there. it continues after the last

This type of number is called an irrational number because it cannot be written as a fraction which would represent an exact ratio between two integers,

It is clear that the number is on the number line somewhere - It is therefore a real number. It is between

We could get more precise and say that:

So although the exact value is not known, we can guess where it lies with some accuracy.