Question

Write the complex number in standard form:
6 + sqrt of -4

Answer 1

6+2i

Answer 2

So all I would have to do with square roots is simplify them? How did you get i? I know i = 1

Answer 3

or is it because of a + bi?

Answer 4

pretty much...i is an imaginary number, so its the negative square root. cuz the square root of -4 doesnt exist, therefore it must be i

Answer 5

\[\large i=\sqrt{-1}\]
\[\large 6+\sqrt{-4}\qquad = \qquad 6+\sqrt{4}\cdot \sqrt{-1}\qquad =\qquad 6+\sqrt4 i\]

Answer 6

so I keep the square root over 4?

Answer 7

no c: You should be able simplify that a bit further, i was just trying to explain where the i came from.

Answer 8

oh okay! and then you'd just simplify down to 2i..I understand, thanks!