Rationalize the Denominator and Simplify $\sqrt [ 3 ] { \frac { 4 } { 9 } }$

question 352

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\sqrt [ 3 ] { \frac { 4 } { 9 } }$

• A) \(\frac { \sqrt [ 3 ] { 324 } } { 9 }\)
• B) \(\frac { \sqrt [ 3 ] { 12 } } { 3 }\)
• C) \(\frac { \sqrt [ 3 ] { 36 } } { 9 }\)
• D) \(\frac { \sqrt [ 3 ] { 324 } } { 81 }\)

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Definitions:

Master Cylinder

The main component in a vehicle's brake system that converts pedal pressure into hydraulic pressure to apply the brakes.

Hygroscopic

A characteristic of brake fluid by which it absorbs moisture. Over time, this can damage the hydraulic system components.

Proportioning Valve

A valve in a vehicle's brake system that regulates the pressure between the front and rear brakes to prevent rear wheel lockup during braking.

Metering Valve

A type of combination brake system valve that introduces a slight delay in the application of the front disc brakes in relation to the rear drum brakes. This allows more balanced braking and better vehicle control. See alsoproportioning valves.