Answered

Explore IDNLearn.com to discover insightful answers from experts and enthusiasts alike. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.

given z^3 = 3 + square root 3i which letter represents z

Sagot :

MrRoyalidn

The expression that represents the value of z is [tex]\sqrt[3]{3 + i\sqrt 3 }[/tex]

What are complex numbers?

Complex numbers are numbers that have real and imaginary parts

A complex number (n) is represented as:

[tex]n = a + bi[/tex]

From the above expression, we have:

  • a represents the real part
  • bi represents the imaginary part

Given that:

[tex]z^3 = 3 + \sqrt 3 i[/tex]

Rewrite the above expression as:

[tex]z^3 = 3 + i\sqrt 3[/tex]

Take the cube roots of both sides

[tex]z = \sqrt[3]{3 + i\sqrt 3 }[/tex]

The letters are not given.

Hence, the expression that represents the value of z is [tex]\sqrt[3]{3 + i\sqrt 3 }[/tex]

Read more about complex numbers at:

https://brainly.com/question/11089283

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.