Simplify the Expression $6 \sqrt { 80 x ^ { 2 } } - 3 \sqrt { 45 x ^ { 2 } } - \sqrt { 5 x ^ { 2 } }$

question 254

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $6 \sqrt { 80 x ^ { 2 } } - 3 \sqrt { 45 x ^ { 2 } } - \sqrt { 5 x ^ { 2 } }$

• A) \(2 x \sqrt { 35 }\)
• B) \(15 \times \sqrt { 5 }\)
• C) \(14 \times \sqrt { 5 }\)
• D) \(3 x \sqrt { 35 }\)

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Definitions:

Marginal Cost

The cost of producing one additional unit of a good or service, which can vary depending on the level of production.

Average Variable Cost

The total variable cost divided by the quantity of output, representing the variable cost per unit of output.

Marginal Product

The additional output resulting from using one more unit of a particular input, holding all other inputs constant.

Marginal Cost

The incremental cost associated with producing an extra unit of a product or service.