What is the set of numbers to which sqrt24 belongs?

1 Answer
EZ as pi
Mar 13, 2018

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.

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