Question

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

Answer 1

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

What are complex numbers?

Complex numbers are numbers that have real and imaginary parts

A complex number (n) is represented as:

$n = a + bi$

From the above expression, we have:

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

Given that:

$z^3 = 3 + \sqrt 3 i$

Rewrite the above expression as:

$z^3 = 3 + i\sqrt 3$

Take the cube roots of both sides

$z = \sqrt[3]{3 + i\sqrt 3 }$

The letters are not given.

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

Read more about complex numbers at:

brainly.com/question/11089283