# Explain why the square root of a number is defined to be equal to that number to the 1/2 power?

##### 1 Answer

Mar 13, 2018

see below

#### Explanation:

There are different ways of proving this, but I like this one...

The

Lets say we don't no the power of the square root jet

We do know that

Therefore, we can say that

Now, we can say that

which leads us to