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 35

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.

• A)\(\frac { \sqrt [ 6 ] { 4 } } { \sqrt { 7 } }\)
• B) \(\frac { \sqrt [ 7 ] { 1372 } } { 7 }\)
• C) \(\frac { \sqrt [ 6 ] { 1372 } } { 4 }\)
• D) \( \frac { \sqrt [ 6 ] { 1372 } } { 7 }\)

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Stimulant

A type of drug that increases the activity of the nervous system, resulting in increased alertness, attention, and energy.

Insomnia

A sleep disorder characterized by difficulty falling asleep, staying asleep, or achieving restorative sleep, often leading to daytime sleepiness and functional impairment.

Temporary

Lasting for only a limited period of time; not permanent.

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Refers to the concentration of dopamine, a neurotransmitter that plays a major role in reward-motivated behavior and control of movement, within the brain's various systems.