Question

Simplify the number using the imaginary unit i: (square root) -28

a. 2(square root) -7
b. -2(square root) -7
c. i(square root) 28
d. 2i(square root) 28

Answer 1

C

Explanation:

Imaginary Number
`i` is defined as the square root of
`-1`

We can write:
`i=√(-1)`

Now, we want to simplify
`√(-28)`

We can use the formula
`√((a)(b)) =√(a) √(b)` to simplify it further:

`√(-28) \\=√((-1)(28)) \\=√(-1) √(28)`

Using the fact that
`i=√(-1)` , we can write:

`i√(28)`

This is answer choice C.

Answer 2

(square root) -28
=(square root) 4*-7
=2(square root)-7
hope this helps