- #1

JC_003

- 3

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I am having trouble solving the sqrt 3i part. I think I need to use de moivres theorem but I am unsure. If someone could push me in the right direction that would be a massive help. Thanks.

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- Thread starter JC_003
- Start date

- #1

JC_003

- 3

- 0

I am having trouble solving the sqrt 3i part. I think I need to use de moivres theorem but I am unsure. If someone could push me in the right direction that would be a massive help. Thanks.

- #2

Cyosis

Homework Helper

- 1,495

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What's the question exactly? You want to write that complex number in its polar representation or as x+iy? Either way start with writing [itex]1-\sqrt{(3i)}[/itex] in the polar representation. Once you have that it is easy to compute [itex](1-\sqrt{(3i)})^3[/itex].

Last edited:

- #3

Дьявол

- 365

- 0

[tex]\sqrt[3]{1-i\sqrt{3}}[/tex]

Use De Moivre's theorem to find all the solutions.

- #4

JC_003

- 3

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If z= 5 +4i, write the number z(|z|^2-(1- sqrt3i)^3) in the form a+bi.

I am able to sub everything in but I want to simplify the (1- sqrt3i)^3. The square root has thrown me off.

- #5

Cyosis

Homework Helper

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- #6

JC_003

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- #7

Cyosis

Homework Helper

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- #8

Elucidus

- 286

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[tex](\sqrt{3})i[/tex]

or

[tex]\sqrt{(3i)}[/tex]

Huge difference.

The question is not clear enough for me to help effectively, but I suspect -8 shows up somewhere.

--Elucidus

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