Simplify by Rationalizing the Denominator $\frac { \sqrt { x } - 20 } { \sqrt { x } + \sqrt { 6 } }$

question 274

Multiple Choice

Simplify by rationalizing the denominator.
- $\frac { \sqrt { x } - 20 } { \sqrt { x } + \sqrt { 6 } }$

• A) \(\frac { \sqrt { 6 x } + 20 \sqrt { x } - 20 \sqrt { 6 } } { 6 }\)
• B) \(\frac { x - \sqrt { 6 x } - 20 \sqrt { x } + 20 \sqrt { 6 } } { x - 6 }\)
• C) \(\frac { x - 26 \sqrt { x } + 20 \sqrt { 6 } } { x - 6 }\)
• D) \(\frac { - 20 \sqrt { 6 } } { 6 }\)

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Definitions:

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A disturbance in the body's acid-base balance resulting in a lower than normal blood pH due to increased acid or decreased bicarbonate.

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Kussmaul's

Refers to Kussmaul breathing, a type of hyperventilation characterized by deep and labored breathing, often seen in cases of severe metabolic acidosis.

Incentive Spirometer

A medical device used to help patients improve the functioning of their lungs through guided deep breathing exercises.