Simplify by Rationalizing the Denominator $\frac { 9 + 8 i } { 5 - 4 i }$

question 22

Multiple Choice

Simplify by rationalizing the denominator. Write your answer in a +bi form.
- $\frac { 9 + 8 i } { 5 - 4 i }$

• A) \(\frac { 13 } { 9 }\)
• B) \(\frac { 77 } { 41 } - \frac { 4 } { 41 } \mathrm { i }\)
• C) \(\frac { 77 } { 9 } - \frac { 76 } { 9 } \mathrm { i }\)
• D) \(\frac { 13 } { 41 } + \frac { 76 } { 41 } \mathrm { i }\)

Recognize how particular propositions relate to their universal counterparts.

Interpret propositions with existential import in both modern and traditional contexts.

Assess the validity of arguments based on the structure of propositions and their interrelations.

Understand diverse methods of prenatal diagnosis and ascertain the risk factors associated with certain diagnostic techniques.

---

Definitions:

Systematic Planning

The process of organizing actions or steps in a methodical way to achieve a specific goal or objective.

Systematic Planning Ability

The capacity to develop, implement, and manage plans in an organized and methodical manner, often aimed at achieving specific objectives.

Memory Task

A task or activity designed to test or enhance the retention and recall capabilities of an individual's memory.

Navajo Children

Children from the Navajo nation, a Native American tribe, whose upbringing and education can be significantly influenced by traditional cultural practices and values.