Question

Simplify the following completely, show all work.

4 + ✓-27​

Answer 1

4+3i
`√(3)`

Explanation:

the
`√(-27)` needs to be simplified

first, I broke it down to
`√(-1)` and
`√(27)`

`√(-1)` simplifies to i ;and can be broken down to
`√(9)` and
`√(3)`

`√(9)` can be simplified further to 3

Now all you have to do is put it together

4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)