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

question 18

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $\frac { a \sqrt { x } - 2 } { a \sqrt { x } + 2 }$

• A) \(\frac { a ^ { 2 } x - 4 a \sqrt { x } + 4 } { a ^ { 2 } x + 4 }\)
• B) \(\frac { a ^ { 2 } x - 4 a \sqrt { x } - 4 } { a ^ { 2 } x + 4 }\)
• C) \(\frac { a ^ { 2 } x + 4 a \sqrt { x } - 4 } { a ^ { 2 } x - 4 }\)
• D) \(\frac { a ^ { 2 } x - 4 a \sqrt { x } + 4 } { a ^ { 2 } x - 4 }\)

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Definitions:

LH

Luteinizing hormone, a hormone produced by the anterior pituitary gland that triggers ovulation and stimulates the production of sex hormones.

Theca Interna

A layer of cells surrounding the ovarian follicle that works in conjunction with granulosa cells to support the development and release of an egg in females.

Granulosa Cells

Cells that surround the developing egg in the ovary and play a crucial role in the maturation of the oocyte and production of hormones like estrogen.

Androgens

A group of hormones that play a role in male traits and reproductive activity; present in both males and females.