How do you find the square root of #100# ?
1 Answer
The (positive) square root of
We write the positive square root of
Explanation:
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