Rationalize the Denominator and Simplify $\frac { 7 } { \sqrt [ 3 ] { 9 x ^ { 2 } } }$

question 146

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 7 } { \sqrt [ 3 ] { 9 x ^ { 2 } } }$

• A) \(\frac { 7 \sqrt [ 3 ] { 9 x ^ { 2 } } } { 9 x ^ { 2 } }\)
• B) \(\frac { 7 \sqrt { 3 x } } { 3 x }\)
• C) \(\frac { 7 \sqrt [ 3 ] { x } } { x }\)
• D) \(\frac { 7 \sqrt [ 3 ] { 3 x } } { 3 x }\)

---

Definitions:

Y-intercept

The point where a line or curve intersects the y-axis of a graph.

Absolute Value

The distance of a number from zero on the number line, without considering which direction from zero the number lies.

Sketch Graph

A rough drawing of a graph to represent a mathematical function or equation visually.

Formula

An expression or equation that describes a mathematical relationship between quantities.