Find the Following Products and Express Answers in Simplest Radical $64 \sqrt { 11 a d } - 8 \sqrt { 77 a }$

question 143

Multiple Choice

Find the following products and express answers in simplest radical form. All variables represent non negative real numbers. Match each of the expressions with the expression to obtain a true statement.
- $64 \sqrt { 11 a d } - 8 \sqrt { 77 a }$

• A) \(8 \sqrt { a } ( 8 \sqrt { 11 } + \sqrt { d } )\)
• B) \(\sqrt { 11 a } ( 64 \sqrt { d } - 8 \sqrt { 7 } )\)
• C) \(8 \sqrt { a } ( 8 \sqrt { a d } + 8 \sqrt { a } )\)
• D) \(\sqrt { 7 d } \left( \sqrt { 1,331 a d } + \sqrt { 605 d ^ { 2 } } \right)\)

---

Definitions:

Retraction

The process of drawing back or being drawn back, often referring to the movement of body parts or the withdrawal of a statement.

Anterior Cruciate Ligament

A key ligament located in the knee, crucial for stabilizing the joint during movement.

Lateral Ligament

A band of tissue located on the lateral (side) part of a joint that helps stabilize and limit the movement of the joint.

Range Of Motion

The full movement potential of a joint, usually its range of flexion and extension; an important measurement in assessing joint functionality.