Multiply the Radical Expressions and Simplify Your Answer $\sqrt { 5 x ^ { 3 } } \cdot \sqrt { 18 x ^ { 6 } }$

question 22

Multiple Choice

Multiply the radical expressions and simplify your answer. $\sqrt { 5 x ^ { 3 } } \cdot \sqrt { 18 x ^ { 6 } }$

• A) \(3 \sqrt { 10 x ^ { 9 } }\)
• B) \(\sqrt { 30 x ^ { 9 } }\)
• C) \(3 x ^ { 4 } \sqrt { 10 x }\)
• D) \(9 x ^ { 4 } \sqrt { 10 x }\)

---

Definitions:

C=C Stretching Frequency

Refers to the frequency at which the carbon-carbon double bonds in a molecule vibrate, typically observed in infrared spectroscopy.

IR Absorption

The absorption of infrared radiation by molecules, leading to changes in vibrational energy levels, used in spectroscopy to identify functional groups.

Intense IR Absorption

A characteristic of some materials to strongly absorb infrared radiation at specific wavelengths, indicative of particular molecular bonds.

Characteristic IR Absorption

The specific frequency at which a molecule absorbs infrared light, indicative of particular bonds or functional groups within the molecule.