Simplify the Expression $$\sqrt [ 4 ] { 2 x y ^ { 5 } } + y \sqrt [ 4 ] { 512 x y } - \sqrt [ 4 ] { 2 x y ^ { 5 } }$$

question 123

Multiple Choice

Simplify the expression.Assume that all variables represent positive numbers, so that no absolute value symbols are needed. $$\sqrt [ 4 ] { 2 x y ^ { 5 } } + y \sqrt [ 4 ] { 512 x y } - \sqrt [ 4 ] { 2 x y ^ { 5 } }$$

• A) \(\quad 8 y \sqrt { 3 x y }\)
• B) \(\quad 12 y \sqrt { 2 x y }\)
• C) \(\quad 4 y \sqrt { 4 x y }\)
• D) \(\quad 4 y \sqrt { 2 x y }\)

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Definitions:

Social Inhibition

The tendency for individuals to perform differently, usually worse, when in the presence of others than when alone.

Distraction/Conflict Theory

A theory suggesting that the presence of conflicting stimuli or distractions can impair cognitive performance and decision-making processes.

Attentional Conflict

A cognitive process where an individual experiences difficulty in focusing on relevant stimuli due to competing irrelevant stimuli.

Collectivist

Describing cultures or individuals who prioritize group goals and interdependence over personal goals and independence.