SOLUTION: 21-20i find square root of complex no.
Algebra
->
Complex Numbers Imaginary Numbers Solvers and Lesson
->
Lesson
-> SOLUTION: 21-20i find square root of complex no.
Log On
Algebra: Complex Numbers
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Complex Numbers
Question 554019
:
21-20i find square root of complex no.
Answer by
Alan3354(69443)
(
Show Source
):
You can
put this solution on YOUR website!
21-20i find square root of complex no.
-------
z = 21-20i
angle A = arcsin(-20/29) = arctan(-20/21) =~ 316.4 degs
-----
z = 29cis(A)
sqrt(z) = sqrt(29)*cis(A/2)
= -5 + 2i