Question

Simplify the given expression √-64/(7-6i) - (2-2i)
a) 64+40i/-3
b) -32+40i/41
c) -64+40i/-3
d) 32+40i/41

Answer 1

\[\frac{\sqrt{-64}}{7-6i}-(2-2i)\]
is this it?

Answer 2

yep!

Answer 3

wait... no
the -(2-2i) goes next to 7-6i

Answer 4

so theyr both in the denominator?

Answer 5

yes

Answer 6

\[=\frac{8i}{5-4i}\]\[=\frac{8i}{5-4i} \times \frac{5+4i}{5+4i} = \frac{40i-32}{25-16}\]

Answer 7

\[=\frac{40i-32}{9}\]