SOLUTION: Simplify (3 – √3 i)^4 and express the result in rectangular form.
Algebra.Com
Question 1022517: Simplify (3 – √3 i)^4 and express the result in rectangular form.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Simplify (3 – i*sqrt(3)^4 and express the result in rectangular form.
------------
Since it's 4th power, square it twice.
(3 – i*sqrt(3))^2 = 9 - 6i*sqrt(3) + 3i^2 = 6 - 6sqrt(3)i
----
Square again:
(6 - 6sqrt(3)i)^2 = 36 - 72*sqrt(3)i + 108i^2
= -72 - i*72*sqrt(3)
==============================
Had the exponent been less convenient DeMoivre's Theorem could be used.
RELATED QUESTIONS
Simplify (3 – √3 i)^4 and express the result in rectangular... (answered by robertb)
divide and express the result in standard form.... (answered by josgarithmetic)
Divide and express the answer in simplest form:
√ 3/3 - 1 / √ 3/3... (answered by Boreal)
Divide and express the result in standard form:
(2)/(3-i)
Please and Thank you... (answered by tommyt3rd)
Simplify and write the result in the form a+bi:... (answered by Fombitz)
Perform the indicated operation, simplify, and express in standard form.
(7-i)... (answered by ankor@dixie-net.com)
2√(8)-√(50)+3√(6)+5√(32)
Simplify in radical... (answered by Gogonati)
Use the Binomial Theorem to expand the binomial and express the result in simplified... (answered by ewatrrr,MathTherapy,ikleyn)
Evaluate the expression and write in the result of a+bi... (answered by solver91311)