Recent content by JC_003

Is that meant to the theta or phi? Silly question I know. I have in my notes a simalar formula for Eulers formula but that uses theta not phi... Another silly question I know but by changing the sq root 3i into a simple number going to give me the same result as getting the polar representation...

The question is: If z= 5 +4i, write the number z(|z|^2-(1- sqrt3i)^3) in the form a+bi. I am able to sub everything in but I want to simplify the (1- sqrt3i)^3. The square root has thrown me off.

(1- sqrt 3i) ^3 I am having trouble solving the sqrt 3i part. I think I need to use de moivres theorem but I am unsure. If someone could push me in the right direction that would be a massive help. Thanks.