I saw a calculation by putting the opposite like: (-sqrt(2)-isqrt(2))^2, but I am not sure if I should do this one the same way.
i have just looked at the first one.
Hint:
(−√2+i√2)100=((−√2+i√2)2)50
yep but opening braces goes like this:
(2−4∗i+2)50
I have no idea how to proceed from here and I don't know if I opened the braces correctly
(−√2+i√2)100=((−√2+i√2)2)50 (−√2+i√2)2=2−2−4i=−4i
for the second one, I cannot divide 35 by 2 or is it what I should do?
okay so the answer is 4^{50}, I understood the first one.
That is not quite right. it is (-4i)^50 = (-4)^50 * i^50 = 4^50 * i^50
You need to work out what i^50
once again you do it with a pattern
hint:
i^1=
i^2=
i^3=
i^4=
i^5=
what is the pattern?
i^ 50 = ?
Okay, I got it. it is -1, therefore −(4)50
You got it !!
I will look at the send one a little later.
I mucked around quite a lot with the second one before I got it. (Maybe there are some shortcut techniques)
anyway:
It should help you a lot if you work out the value of (1−√3i)3
These are usually best done by using polar coordinates. e.g.
Thanks Alan,
I always forget how this is done
+2499 
+118703 
