- #1

- 479

- 20

##f(x) = \sqrt{x}##

Refers to the principal root of any real number x.

Is it true that this is not the case when dealing with complex numbers? Does ##\sqrt{z}##, where ##z ∈ ℂ##, represent more than one value?

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- Thread starter PFuser1232
- Start date

- #1

- 479

- 20

##f(x) = \sqrt{x}##

Refers to the principal root of any real number x.

Is it true that this is not the case when dealing with complex numbers? Does ##\sqrt{z}##, where ##z ∈ ℂ##, represent more than one value?

- #2

- 146

- 15

If you define

more reading youll enjoy:

http://en.wikipedia.org/wiki/Root_of_unity

- #3

- 21,494

- 12,805

http://en.wikipedia.org/wiki/Square_root#Square_roots_of_negative_and_complex_numbers

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