Question

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

Answer 1

`sqrt24` is real and irrational.

Explanation:

If you work out `sqrt24` on a calculator you will get an answer of ;

`sqrt24 = 4.898979486`

But the number does not stop there. it continues after the last `6`, but you will notice that there is no pattern emerging.

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 `4 and 5`.

We could get more precise and say that:

`4.898 < sqrt24 < 4.899`

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