# How do you multiply #sqrt[5] * sqrt[5]#?

##### 1 Answer

Jun 21, 2016

5

#### Explanation:

Writing this another way we have

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Squaring the square root has almost the same effect of not having taken the square root in the first place.

Suppose we write the square root of 5 as

Then

and

So

As the whole thing is squared then it does not matter if we look at

as