Determine which regions contain cube roots of 8i. Check all that apply.
on real axis
on imaginary axis
quadrant 1
quadrant 2
quadrant 3
quadrant 4

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Answer:

this is the right answer

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The cube roots of 8i are in the region of on imaginary axis, quadrant 1, and quadrant 2 options 2, 3, and 4 are correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= ∛8i

The cube roots of 8i are

The cube roots of 0+8i are:

1. √3 + 1i

2. -√3+1i

3. 0-2i

The complex number can be represented as:

= a + ib

a, and b are real numbers.

i is the iota.

Thus, the cube roots of 8i are in the region of on imaginary axis, quadrant 1, and quadrant 2 options 2, 3, and 4 are correct.

Learn more about the complex number here:

brainly.com/question/10251853

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