Find all cube roots of the number -8 and state the final answer in rectangular coordinates.© BrainMass Inc. brainmass.com March 4, 2021, 7:27 pm ad1c9bdddf
To find the roots of a complex number, we can use the formula
c = r^(1/3) exp[i(theta/n + 2k(pi)/n)], k=0,1,2,...,n-1
So, let's apply this to our particular problem.
We have n=3, k=0,1,2. So,
=8^(1/3) exp[i(theta/3 + 2k(pi)/3)], k=0,1,2. Theta is equal to the angle measure ...
A step-by-step solution is provided. The student is shown how to find all (complex) cube roots of a number. Word file included.