Rationalize the Denominator and Simplify $\frac { 3 } { \sqrt { 6 } - 4 }$

question 3

Multiple Choice

Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
- $\frac { 3 } { \sqrt { 6 } - 4 }$

• A) \(- \frac { 3 \sqrt { 6 } + 12 } { 10 }\)
• B) \(\frac { 3 \sqrt { 6 } + 12 } { 10 }\)
• C) \(- \frac { 3 \sqrt { 6 } - 12 } { 10 }\)
• D) \(\frac { 3 \sqrt { 6 } - 12 } { 10 }\)

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Definitions:

Joints

Structures that connect two or more bones in the body, allowing for mobility and flexibility.

Action Potential

A rapid, temporary change in the electrical potential across a cell membrane, leading to the transmission of an electrical impulse along the neuron or muscle cell.

T Tubule

Tubular extensions of the plasma membrane in muscle cells that penetrate into the cell's interior, crucial for transmitting the action potential to trigger muscle contraction.

Calcium Ions

Positively charged ions (Ca2+) essential for various cellular processes, including muscle contraction, nerve function, and blood clotting.