SOLUTION: I have to write the complex expression in rectangular standard form: (square root -3 + i)^6
Any idea how you write it in standard form?
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Question 1053022: I have to write the complex expression in rectangular standard form: (square root -3 + i)^6
Any idea how you write it in standard form?
Found 2 solutions by KMST, ikleyn:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
? ?
has more charm as a problem,
because has a real part, and an imaginary part ,
so it begs for using the polar form.
, so ,
but since and , it must be , in the first quadrant.
So, and
.
is a real number,
but from then on it gets complicated.
=
=
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
There is a bunch of my lessons on complex numbers
- Complex numbers and arithmetical operations on them
- Complex plane
- Addition and subtraction of complex numbers in complex plane
- Multiplication and division of complex numbers in complex plane
- Raising a complex number to an integer power
- How to take a root of a complex number
- Solution of the quadratic equation with real coefficients on complex domain
- How to take a square root of a complex number
- Solution of the quadratic equation with complex coefficients on complex domain
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook.
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