Rationalize the Denominator $\frac { 5 } { \sqrt [ 3 ] { 36 x ^ { 2 } } }$

question 272

Multiple Choice

Rationalize the denominator. Assume that all variables represent positive real numbers.
- $\frac { 5 } { \sqrt [ 3 ] { 36 x ^ { 2 } } }$

• A) \(\frac { 5 \sqrt [ 3 ] { 36 x ^ { 2 } } } { 36 x ^ { 2 } }\)
• B) \(\frac { 5 \sqrt [ 3 ] { x } } { x }\)
• C) \(\frac { 5 \sqrt [ 3 ] { 6 x } } { 6 x }\)
• D) \(\frac { 5 \sqrt { 6 x } } { 6 x }\)

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Definitions:

Alveoli

Tiny air sacs in the lungs where gas exchange between the air and blood takes place.

Moist Membrane

Tissue that remains wet and is involved in absorption, secretion, or exchange processes.

Diffusing

The process of a substance spreading from an area of high concentration to an area of lower concentration.

Respiratory Passageways

The paths that air follows to enter and exit the lungs, including the nose, throat, trachea, and bronchi.