Perform the Indicated Operation $\sqrt { 12 x ^ { 9 } y ^ { 9 } } \cdot \sqrt { 8 x ^ { 2 } y ^ { 4 } }$

question 261

Multiple Choice

Perform the indicated operation. Simplify, if possible. Assume all variables are positive. $\sqrt { 12 x ^ { 9 } y ^ { 9 } } \cdot \sqrt { 8 x ^ { 2 } y ^ { 4 } }$

• A) \(4 x ^ { 4 } y ^ { 13 } \sqrt { 6 }\)
• B) \(4 x ^ { 5 } y ^ { 6 } \sqrt { 6 x y }\)
• C) \(4 x ^ { 7 } y ^ { 5 } \sqrt { 6 x }\)
• D) none of these

---

Definitions:

Neutral Conductor

A conductor that carries current back to the source in electrical systems and is at a potential of zero volts.

Sequence

An ordered collection of objects or events that follow a specific pattern or arrangement.

Harmonic

A sinusoidal component of a periodic wave or quantity having a frequency that is an integral multiple of the fundamental frequency.

True-RMS

A measurement of an alternating current or voltage, representing the square root of the average of the squares of the instantaneous values.