Express the Following Expression in Simplest Radical Form $\frac { 4 } { 5 } \sqrt { 180 x y ^ { 3 } }$

question 97

Multiple Choice

Express the following expression in simplest radical form. All variables represent positive real numbers. $\frac { 4 } { 5 } \sqrt { 180 x y ^ { 3 } }$

• A) \(\frac { 24 x y \sqrt { 5 x y } } { 5 }\)
• B) \(\frac { 24 \sqrt { 5 x y } } { 5 }\)
• C) \(\frac { 24 y \sqrt { 5 x y } } { 5 }\)
• D) \(\frac { 24 y \sqrt { 5 x } } { 5 }\)

---

Definitions:

Clostridium Difficile

A bacterium that can cause symptoms ranging from diarrhea to life-threatening inflammation of the colon, often after the use of antibiotics.

Broad-Spectrum Antibiotics

Antibiotics that are effective against a wide range of both Gram-positive and Gram-negative bacteria.

Cephalosporin

A class of antibiotics used to treat a wide range of bacterial infections, known for its broad spectrum of activity.

Penicillin

An antibiotic drug derived from certain types of molds, used to treat bacterial infections by inhibiting the growth of bacteria.