Question

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

Answer 1

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.

Answer 2

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