Rationalize the Denominator $\frac { 4 } { \sqrt { x + h } - \sqrt { x } }$

question 19

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $\frac { 4 } { \sqrt { x + h } - \sqrt { x } }$

• A) \(\frac { 4 ( \sqrt { x + h } - \sqrt { x } ) } { h }\)
• B) \(\frac { 4 \sqrt { h } } { h }\)
• C) \(\frac { 4 \sqrt { x + h } + \sqrt { x } } { h }\)
• D) \(\frac { 4 ( \sqrt { x + h } + \sqrt { x } ) } { h }\)

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Definitions:

Recession

A phase of short-term economic downturn where business activities and manufacturing diminish, usually signaled by two successive quarters of GDP decrease.

Nominal GDP

Measures a country's gross domestic product using current prices, without adjusting for inflation or deflation, providing a raw economic output figure.

Real GDP Per Person

A measure of the economic output of a country adjusted for price changes (inflation or deflation) and divided by the total population.

Nominal GDP

The gross domestic product calculated at current market prices, reflecting the economy's size without accounting for inflation's effects.