Express the Following Expression in Simplest Radical Form $\sqrt { \frac { 128 y ^ { 3 } } { 49 x } }$

question 233

Multiple Choice

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { \frac { 128 y ^ { 3 } } { 49 x } }$

• A) \(\frac { 8 y \sqrt { 2 x y } } { 7 }\)
• B) \(\frac { 8 y ^ { 2 } \sqrt { 2 x y } } { x }\)
• C) \(\frac { 8 y \sqrt { 2 x y } } { 7 x }\)
• D) \(\frac { 8 \sqrt { 2 x y } } { 7 x }\)

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Definitions:

Measured

The act of determining the size, quantity, or degree of something using a standard unit or device.

Sensory Receptor

Cell or cell component that responds to a specific stimulus, such as temperature or light.

Detects

The process of identifying or discovering something through observation or the use of specific scientific equipment.

Light

Electromagnetic radiation that is visible to the human eye, fundamental for photosynthesis and perception.