Simplify by Rationalizing the Denominator $\frac { 8 - 8 i } { 5 - 6 i }$

question 21

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a +bi form.
- $\frac { 8 - 8 i } { 5 - 6 i }$

• A) \(- 8 + \frac { 8 } { 11 } \mathrm { i }\)
• B) \(\frac { 8 } { 11 } + \frac { 8 } { 11 } \mathrm { i }\)
• C) \(\frac { 88 } { 61 } + \frac { 8 } { 61 } \mathrm { i }\)
• D) \(- \frac { 8 } { 61 } + \frac { 88 } { 61 } \mathrm { i }\)

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Definitions:

Y Chromosome

The sex chromosome typically found only in males. When paired with an X chromosome from the mother, it produces a male child.

X Chromosome

The sex chromosome found in both males and females. Females typically have two X chromosomes; males typically have one. An X chromosome from each parent produces a female child.

Menarche

The first occurrence of menstruation in a person, signaling the beginning of reproductive capability.

Androgyny

Exhibiting characteristics or qualities that are both masculine and feminine, or neither specifically masculine nor feminine.