Evaluate the Expression $\frac { 4 } { 3 - \sqrt { - 4 } } + \frac { i } { 3 + \sqrt { - 4 } }$

question 100

Multiple Choice

Evaluate the expression $\frac { 4 } { 3 - \sqrt { - 4 } } + \frac { i } { 3 + \sqrt { - 4 } }$ and write the result in the form $a + b i$ .

• A) \(\frac { 11 } { 5 } - \frac { 14 } { 5 } i\)
• B) \(\frac { 14 } { 5 } + \frac { 11 } { 5 } i\)
• C) \(\frac { 11 } { 13 } - \frac { 5 } { 13 } i\)
• D) \(\frac { 11 } { 13 } + \frac { 14 } { 13 } i\)
• E) \(\frac { 14 } { 13 } + \frac { 11 } { 13 } i\)

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Definitions:

Contextual Approach

A contextual approach involves understanding behaviors, thoughts, and emotions within the environmental, social, and cultural contexts in which they occur.

Temporal Variables

Factors or aspects of time that influence the outcome of a study or experiment, such as duration, frequency, or timing of events.

Ecological Variables

Factors in the environment that can influence organisms and their habitats, playing a crucial role in ecological studies.

Capability Dimension

Refers to the various capabilities or abilities individuals have or need to perform certain tasks or to function in particular areas of life.