Rationalize the Denominator $$\frac { 3 } { 6 - \sqrt { 2 } }$$

question 170

Multiple Choice

Rationalize the denominator. Assume that all variables represent nonnegative numbers and that the denominator is not
zero.
- $$\frac { 3 } { 6 - \sqrt { 2 } }$$

• A) \(\frac { 18 + 3 \sqrt { 2 } } { 4 }\)
• B) \(\frac { 3 } { 6 } - \frac { 3 } { \sqrt { 2 } }\)
• C) \(\frac { 18 - 3 \sqrt { 2 } } { 34 }\)
• D) \(\frac { 18 + 3 \sqrt { 2 } } { 34 }\)

---

Definitions:

Deflection

The degree to which a structural element is displaced under a load.

MacPherson

A type of suspension system that features a single strut and coil spring to support the vehicle's weight and allow wheel movement.

Short/Long Arm

A suspension design where control arms of different lengths are used, affecting vehicle handling and stability.

Multilink

A type of suspension system in vehicles that features multiple links or arms for improved handling and comfort.