Rationalize the Numerator and Simplify $\frac { \sqrt { 5 } } { \sqrt { 3 x } }$

question 137

Multiple Choice

Rationalize the numerator and simplify. Assume all variables represent positive real numbers.
- $\frac { \sqrt { 5 } } { \sqrt { 3 x } }$

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

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Definitions:

Carbene

A reactive molecule containing a carbon atom with two unshared electrons and bonded to two other atoms.

Diazomethane

A highly reactive, carcinogenic organic compound employed in methylating agents and as a precursor to carbenes; characterized by the formula CH2N2.

Carbene

A highly reactive molecule containing a carbon atom with two nonbonded electrons and bonded to two atoms typically forming a divalent species.

Relative Reactivity

A comparison of the reactivity rates of different substances under the same conditions, indicating how easily one substance reacts relative to another.