Simplify the Expression $6 \sqrt { 32 x ^ { 2 } } - 3 \sqrt { 18 x ^ { 2 } } - \sqrt { 2 x ^ { 2 } }$

question 449

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $6 \sqrt { 32 x ^ { 2 } } - 3 \sqrt { 18 x ^ { 2 } } - \sqrt { 2 x ^ { 2 } }$

• A) \(2 x \sqrt { 14 }\)
• B) \(14 x \sqrt { 2 }\)
• C) \(3 x \sqrt { 14 }\)
• D) \(15 x \sqrt { 2 }\)

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Definitions:

Break-Even

The instance where cumulative spending equals cumulative earnings, causing neither a financial gain nor a deficit.

Variable Costs

Costs that vary directly with the level of production or output.

Fixed Costs

Fixed expenses that are unaffected by the amount of goods produced or sold, for example, rent, salaries, and insurance payments.

Profit

Profit is the financial gain obtained when the amount earned from a business activity exceeds the expenses, costs, and taxes needed to sustain the activity.