Rationalize the Denominator $\frac { a \sqrt { x } - 3 } { a \sqrt { x } + 3 }$

question 552

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $\frac { a \sqrt { x } - 3 } { a \sqrt { x } + 3 }$

• A) \(\frac { a ^ { 2 } x - 6 a \sqrt { x } - 9 } { a ^ { 2 } x + 9 }\)
• B) \(\frac { a ^ { 2 } x + 6 a \sqrt { x } - 9 } { a ^ { 2 } x - 9 }\)
• C) \(\frac { a ^ { 2 } x - 6 a \sqrt { x } + 9 } { a ^ { 2 } x - 9 }\)
• D) \(\frac { a ^ { 2 } x - 6 a \sqrt { x } + 9 } { a ^ { 2 } x + 9 }\)

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Definitions:

Separate Spheres

An ideology that defined and delineated the roles of men and women in society, often assigning women to the domestic sphere and men to the public or working world.

Catharine Beecher

A prominent American educator and writer in the 19th century, known for her advocacy of female education and the establishment of schools for women.

Abolitionism

A movement advocating for the immediate end of slavery and the emancipation of slaves, particularly prevalent in the 19th century.

Catharine Beecher

An American educator and author who advocated for women’s education and was an influential figure in the promotion of kindergarten and teacher education in the United States.