# How do you simplify #sqrt(-50)#?

##### 1 Answer

Jul 5, 2015

I found:

#### Explanation:

Here you have a problem...

in fact you cannot solve a square root with a negative argument or, better, you cannot find a real number which is solution of your square root.

What you can do it is try to find a solution somewhere else...in the place of **imaginary** numbers!

First of all you manipulate your root as:

you now introduce a new entity: the imaginary unit

so you can write:

1] solution of your problem; in fact if you square it you get:

2] it is an imaginary number (it contains