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:

Hypothalamus

A region of the brain below the thalamus that coordinates both the autonomic nervous system and the activity of the pituitary, controlling body temperature, thirst, hunger, and other homeostatic systems, and involved in sleep and emotional activity.

Cerebral Cortex

Outer gray matter layer of the cerebrum; region responsible for most complex behavior.

Gray Matter

Central nervous system tissue consisting of neuron axon terminals, cell bodies, dendrites, and some neuroglia.

Highly Folded

Describes structures that are extensively folded to increase surface area, commonly seen in membranes or organ tissues.