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


A2(square root) -7
B-2(square root) -7
Ci(square root) 28
D2i(square root) 28

Verified Answer :

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

Answer:

C


Step-by-step explanation:

Imaginary Number  \(i\) is defined as the square root of \(-1\)

We can write:  \(i=\sqrt{-1}\)


Now, we want to simplify  \(\sqrt{-28}\)

We can use the formula \(\sqrt{(a)(b)} =\sqrt{a} \sqrt{b}\) to simplify it further:

\(\sqrt{-28} \\=\sqrt{(-1)(28)} \\=\sqrt{-1} \sqrt{28}\)

Using the fact that \(i=\sqrt{-1}\)  ,  we can write:

\(i\sqrt{28}\)

This is answer choice C.