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Square root
The square root of the number a means looking for a number that when squared gives a. You write it as
Explanation
Here we have the well known 2nd root, called the square root. On your calculator you can see
There is also a 3rd, 4th and also a nth root. It always works in the same manner
and so
It only gets difficult if you cannot easily factorize the value. Nevertheless, you can calculate with roots, as it are just numbers
but it is not possible to do this manually. You can write roots as powers
and this explains what a root really is, as
Now we multiply roots
When dividing, we avoid having roots in the denominator
and that looks better. Now we make it more difficult and write
We verify this, and take a = 64, because the answer will be
We use the original formula and find
So it works.