Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Question 5 20 pts Any nonzero complex number has n nth roots. The principal nth root of r(cos 0 + isin 0) is vr (

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed
image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed
Question 5 20 pts Any nonzero complex number has n nth roots. The principal nth root of r(cos 0 + isin 0) is vr ( cos - + isin and the n n other roots are evenly spaced in a circle around the origin; they 360 have the same radius but the angles differ by n Question: What are the fourth roots of 625(cos 120" + i sin 120" )? The principal root is [ Select ] The other roots are [ Select ] degrees apart. The other roots are [ Select ] [ Select ] , and [ Select ]The principal root is [ Select ] [ Select ] 156(cos3'+isin3") The other roots are 5(cos30+isin30") degrees 156(cos30*+isin309) apart. 5(cos3+isin3")The other roots are [ Select ] [ Sele st apart. 90 60 The other roots are 120The other roots are [ Select ] [ Select ] [ Select ] 5(cos120'+isin120") 5(cos30 +isin30") 125(cos30*+isin30") [ Select ]\fThe other roots are [ Select ] [ Select ] and [ Select ] [ Select ] 5(cos300*+isin300) 125(cos30*+isin309) For 5(cos240*+isin240") ook in your textbook at

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Topology

Authors: Marco Manetti

1st Edition

3319169580, 9783319169583

More Books

Students also viewed these Mathematics questions

Question

Discuss whether self-actualization should be everyones goal.

Answered: 1 week ago