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

question 54

Multiple Choice

Rationalize the denominator and simplify. The variable represents a positive real number. $\frac { \sqrt { x } } { \sqrt { x } - 10 }$

• A) \(\frac { 10 \sqrt { x } } { x - 100 }\)
• B) \(\frac { x + 10 \sqrt { x } } { x - 10 }\)
• C) \(\sqrt { x }\)
• D) \(\frac { 11 x } { x - 100 }\)
• E) \(\frac { x + 10 \sqrt { x } } { x - 100 }\)

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Definitions:

Demand Curve

A chart that illustrates the correlation between a product's price and the amount of it consumers want to buy, usually depicted as a line sloping downwards towards the right.

Gasoline

Gasoline is a volatile, flammable liquid derived from petroleum, primarily used as fuel in internal combustion engines.

Supply Curve

A visual chart that illustrates how the price of an item affects the amount of the item that sellers are prepared to offer.

Inferior Good

A product whose demand decreases as consumers' income levels increase, opposite to normal goods.