We Can Often Multiply and Divide Radicals with Different Indexes $$\sqrt { 3 } \sqrt [ 3 ] { 5 } = \sqrt [ 6 ] { 27 } \sqrt [ 6 ] { 25 } = \sqrt [ 6 ] { ( 27 ) ( 25 ) } = \sqrt [ 6 ] { 675 }$$

question 53

Multiple Choice

We can often multiply and divide radicals with different indexes.For example: $$\sqrt { 3 } \sqrt [ 3 ] { 5 } = \sqrt [ 6 ] { 27 } \sqrt [ 6 ] { 25 } = \sqrt [ 6 ] { ( 27 ) ( 25 ) } = \sqrt [ 6 ] { 675 }$$ Use this idea to write the following expression as a single radical. $\frac { \sqrt [ 4 ] { 2 } } { \sqrt { 6 } }$

• A)\(\frac { \sqrt [ 4 ] { 72 } } { 6 }\)
• B) \(\frac { \sqrt [ 5 ] { 72 } } { 6 }\)
• C) \(\frac { \sqrt [ 4 ] { 72 } } { 8 }\)
• D) \(\frac { \sqrt [ 4 ] { 72 } } { 2 }\)

---

Definitions:

Catheter-Associated UTI

A urinary tract infection that occurs in individuals using a urinary catheter, often caused by bacteria entering through the catheter.

Urinary Drainage

The process of removing urine from the bladder, often using devices like catheters, particularly in individuals who cannot urinate independently.

Meatus

A natural passage or opening in the body.

White Blood Cells

Cells of the immune system that are involved in protecting the body against both infectious disease and foreign invaders.