Rationalize the Denominator and Simplify $\frac { 3 } { \sqrt { 125 x } }$

question 100

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 3 } { \sqrt { 125 x } }$

• A) \(\frac { \sqrt { 15 x } } { 25 x }\)
• B) \(\frac { 3 \sqrt { x } } { 5 x }\)
• C) \(\frac { 3 \sqrt { 5 x } } { 25 x }\)
• D) \(\frac { 3 \sqrt { 125 x } } { 125 x }\)

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Definitions:

Lizards

A widespread group of squamate reptiles, with over 6,000 species, ranging across all continents except Antarctica.

Therapsids

A group of mammal-like reptiles of the Permian period; gave rise to the mammals.

Chordates

A large phylum of animals that includes all vertebrates as well as several closely related invertebrates, characterized by the presence of a notochord at some stage of their development.

Monotremes

Egg-laying mammals, such as the platypus and echidna, representing a unique branch of the mammalian tree.