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

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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

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