Rationalize the Denominator $\frac { \sqrt { 13 } + \sqrt { 2 } } { \sqrt { 13 } - \sqrt { 2 } }$

question 72

Multiple Choice

Rationalize the denominator. Assume that all variables represent positive real numbers.
- $\frac { \sqrt { 13 } + \sqrt { 2 } } { \sqrt { 13 } - \sqrt { 2 } }$

• A) \(\frac { 173 + 2 \sqrt { 26 } } { 165 }\)
• B) \(\frac { 15 + 2 \sqrt { 26 } } { 11 }\)
• C) \(\frac { 173 + 2 \sqrt { 26 } } { 11 }\)
• D) \(\frac { 15 + 2 \sqrt { 26 } } { 165 }\)

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Definitions:

Obsessive-Compulsive Disorder

A mental disorder characterized by unwanted thoughts (obsessions) and repetitive behaviors (compulsions).

Germs

Microorganisms, especially those that cause disease.

Obsessions

Recurrent and persistent thoughts, urges, or images that are experienced as intrusive and unwanted, causing significant anxiety or distress.

Compulsions

Compulsions are repetitive behaviors or mental acts that a person feels driven to perform in response to an obsession, or according to rules that must be applied rigidly, aimed at preventing or reducing distress or a dreaded event or situation.