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Root
Extracting the root from a number a means searching for a number that gives a when squared. You write it as
Explanation
This is the famous 2nd root, the square root. On your calculator you can see
There is also a 3rd, 4th and even a nth root. It always works in the same way
and thus
It only gets difficult if you cannot easily factorize the number. Anyhow you can make calculations with roots, as they are just numbers. So
but you need a calculator for that. Roots can be written as exponential functions
and this explains what a root really is, as
Now we multiply roots
During a division we want to avoid roots in the denominator, so
and that looks better. Now we make it difficult and write
We check this, and take a = 64, sothat the answer will be
We use the original formula and find
So it works.