# How do you write the given expression terms of i: #sqrt(-45)#?

##### 1 Answer

the special symbol *i* is used to represent the square root of negative 1,

#### Explanation:

We know there is no such thing in the real number universe as the

1*1 = 1 and -1*-1 is also 1. Obviously 1*-1 = -1, but 1 and -1 are not the same number. They both have the same magnitude (distance from zero), but they are not identical.

So, when we have a number that involves a negative square root, math developed a plan to get around that problem by saying that anytime we run across that issue, we make our number positive so we can deal with it and put an *i* at the end.

So, in your case

Note that since 45 = 9*5, your answer can be simplified to: