Rationalize the Numerator and Simplify $$\frac { 5 + \sqrt { 6 } } { 5 - \sqrt { 6 } }$$

question 88

Multiple Choice

Rationalize the numerator and simplify. Assume all variables represent positive real numbers.
- $$\frac { 5 + \sqrt { 6 } } { 5 - \sqrt { 6 } }$$

• A) \(\frac { 19 } { 31 + 10 \sqrt { 6 } }\)
• B) \(\frac { 19 } { 31 - 10 \sqrt { 6 } }\)
• C) \(\frac { 31 } { 19 - 10 \sqrt { 6 } }\)
• D) 1

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Definitions:

Cervical Vertebrae

The seven vertebrae that form the upper part of the spine in the neck region.

First Cervical

Referring to the first cervical vertebra (C1), also known as the atlas, which supports the skull and enables head movements.

Atlas

The first cervical vertebra of the spine, supporting the skull and allowing the head to nod and rotate.

Anterior Part

The front aspect or part of something, often referred to in the context of the body.