Please help me if you can.

[MagicMan333]

Here I have 2 math problems. They contain complex numbers. If you know how to solve them, please help.

 

[firemath]

Please follow the forum rules as enunciated at the sites forum guidelines.

 

[topsquark]

Here I have 2 math problems. They contain complex numbers. If you know how to solve them, please help.

Please show whatever work you've been able to do on these. See here for the rules. If you haven't been able to start, just say so.

-Dan

 

[topsquark]

Here I have 2 math problems. They contain complex numbers. If you know how to solve them, please help.

Looks like we're a bit off topic.

This appears to be an exercise in writing complex numbers in polar form:
For the first problem let's do that to the [math]\sqrt{6} - 3i \sqrt{2}[/math]. I'll give you the answer, you tell me if you need help with it:
[math]\sqrt{6} - 3i \sqrt{2} = 2 \sqrt{6} e^{-i \pi /3}[/math]
This makes the equation to solve [math]2z^6 + 2 \sqrt{6} e^{-i \pi / 3} z^3 = 0[/math]
So we know that either [math]z^3 = 0[/math] or [math]z^3 + \sqrt{6} e^{-i \pi / 3} = 0[/math]
Can you finish this?

Hint for the second problem. Convert the imaginary numbers into polar form. It simplifies the problem immediately. Give it a try and let us know how you do with it.

-Dan