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

question 124

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

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Definitions:

Internal Rate of Return

A financial metric used to estimate the profitability of potential investments, calculated as the rate of return that makes the net present value of all cash flows equal to zero.

Erosion

In finance, erosion refers to the gradual reduction of assets, earnings, or investment value over time.

Future Cash Flows

Predicted income or expenses expected to be generated or incurred in the future.

Present Value

Present value is a financial concept that calculates the current worth of a future sum of money or stream of cash flows given a specified rate of return.