There are two ways of doing this. The first is essentially what you have done and so that . . All that has to be multiplied. It is simpler if you realize that , a real number.
The other way is to use the exponential form. saying is the same as saying . And then . And then the product is
First if you do not know that 2/8= 1/4 you should give up all math!I got the answer 2e^(2pi/8)i
But the correct answer is 2+i sq.rt2
How do I get that answer?
And, of course, . What is that equal to? (It is NOT "2+ i sq.rt 2"! I suspect you have misread that.)