Rationalize the Denominator $\frac { 9 - 10 \sqrt { 2 } } { \sqrt { 2 } + 1 }$

question 225

Multiple Choice

Rationalize the denominator.
- $\frac { 9 - 10 \sqrt { 2 } } { \sqrt { 2 } + 1 }$

• A) \(\frac { 19 \sqrt { 2 } - 29 } { 3 }\)
• B) \(19 \sqrt { 2 } - 29\)
• C) \(9 - 11 \sqrt { 2 }\)
• D) \(\frac { 9 \sqrt { 2 } - 20 } { 3 }\)

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Definitions:

Behavioral Inhibition

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Kindling-Sensitization Model

A theory suggesting that repeated exposures to stressful events may lead to an increased sensitivity to stress and eventually contribute to the onset of psychiatric disorders.

Depressive Episode

A period marked by persistent sadness, apathy, and other symptoms that significantly impact an individual's day-to-day functioning.

Mildly Depressed

A state characterized by a low mood to a lesser degree, not meeting the full criteria for major depression.