A square root of a number

As for how do you *find* the square root of

etc.

So if you did not realise it already

In general, to find the square root of a larger number, it may be helpful to factor the number into prime numbers first.

For example:

Then we can split the powers of each prime evenly into two as follows:

If you prefer:

So

If it is not possible to split the prime factors into two identical groups in this way, then the square root is not a whole number. In fact it will not even be a rational number (improper fraction).

For example