Simplify the Expression $\sqrt { 98 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } }$

question 502

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $\sqrt { 98 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } }$

• A) \(7 \mathrm { k } ^ { 3 } q ^ { 4 } \sqrt { 2 }\)
• B) \(7 \mathrm { k } ^ { 7 } \mathrm { q } ^ { 8 } \sqrt { 2 \mathrm { k } }\)
• C) \(7 q ^ { 4 } \sqrt { 2 k ^ { 7 } }\)
• D) \(7 \mathrm { k } ^ { 3 } \mathrm { q } ^ { 4 } \sqrt { 2 \mathrm { k } }\)

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Definitions:

Required Rate

The required rate, often referred to as the required rate of return, is the minimum expected rate of return on an investment deemed acceptable to an investor.

Unequal Cash Flows

Cash inflows or outflows over a period that vary in amount, which are crucial in investment analysis and capital budgeting.

Present Value

The current worth of a future sum of money or stream of cash flows given a specified rate of return.

Future Value

The value of a current asset at a specified date in the future based on an assumed rate of growth over time.