Rationalize the Denominator and Simplify $\frac { \sqrt { 2 } - 7 } { \sqrt { 7 } - 10 }$

question 16

Multiple Choice

Rationalize the denominator and simplify.
- $\frac { \sqrt { 2 } - 7 } { \sqrt { 7 } - 10 }$

• A) \(\frac { \sqrt { 14 } + 70 - 7 \sqrt { 7 } - 10 \sqrt { 2 } } { - 93 }\)
• B) \(\frac { \sqrt { 14 } - 70 - 7 \sqrt { 7 } + 10 \sqrt { 2 } } { 107 }\)
• C) \(\frac { \sqrt { 14 } - 70 - 7 \sqrt { 7 } + 10 \sqrt { 2 } } { - 93 }\)
• D) \(\frac { \sqrt { 14 } + 70 - 7 \sqrt { 7 } - 10 \sqrt { 2 } } { 107 }\)

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Definitions:

Depressive Symptoms

manifestations of depression that can include feelings of sadness, hopelessness, and a lack of interest or pleasure in activities.

Depression

A mental health disorder characterized by persistent feelings of sadness, loss of interest, and a lack of enjoyment in life.

Disruptive Mood Dysregulation Disorder

A mental disorder characterized by severe and recurrent temper outbursts that are disproportionate to the situation and developmental level.

Learned Helplessness

The hopelessness and passive resignation an animal or person learns when unable to avoid repeated aversive events.