Simplify the Expression $$\sqrt { \frac { 2 } { 3 } } - \sqrt { \frac { 72 } { 108 } }$$

question 538

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt { \frac { 2 } { 3 } } - \sqrt { \frac { 72 } { 108 } }$$

• A) 0
• B) \(- 1\)
• C) \(- 6\)
• D) \(- \frac { 1 } { 6 }\)

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Definitions:

Hinge

A type of joint that allows for motion in one plane, much like the opening and closing of a door, commonly found in the elbows and knees.

Synovial Joints

A type of joint that is surrounded by a flexible sac filled with lubricating synovial fluid, allowing for smooth movement between the bones.

Fibrous Joints

Joints that are connected by dense connective tissue, consisting largely of collagen. These joints are immovable or only slightly movable, such as sutures in the skull.

Cartilaginous Joints

Joints where the bones are attached via cartilage, allowing for limited movement.