Find Roots of Complex Numbers in Polar Form
-The Complex $2 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)$

question 222

Multiple Choice

Find Roots of Complex Numbers in Polar Form
-The complex square roots of $2 \left( \cos \frac { 2 \pi } { 3 } + i \sin \frac { 2 \pi } { 3 } \right)$ (rectangular form)

• A) \(\frac { \sqrt { 2 } } { 2 } + \frac { \sqrt { 6 } } { 2 } i , - \frac { \sqrt { 2 } } { 2 } - \frac { \sqrt { 6 } } { 2 } i\)
• B) \(\frac { \sqrt { 2 } } { 2 } - \frac { \sqrt { 6 } } { 2 } i , - \frac { \sqrt { 2 } } { 2 } + \frac { \sqrt { 6 } } { 2 } i\)
• C) \(\sqrt { 6 } + \sqrt { 2 } i , - \sqrt { 6 } - \sqrt { 2 } i\)
• D) \(6 - 2 \mathrm { i } , - 6 - 2 \mathrm { i }\)

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Definitions:

Dural Sinuses

Large venous channels found in the dura mater of the brain, draining blood from the brain and cranial cavity.

Internal Hydrocephalus

A condition where an excess of cerebrospinal fluid accumulates within the ventricles of the brain, resulting in increased pressure.

Ventricular Hydrocephalus

Ventricular hydrocephalus is a condition characterized by excessive accumulation of cerebrospinal fluid in the ventricles of the brain, leading to increased pressure and potential damage to brain tissues.

Blockage of CSF

An obstruction in the flow of cerebrospinal fluid (CSF), which can lead to conditions like hydrocephalus, influencing brain pressure.