Multiply, and Then Simplify If Possible $( \sqrt { 2 x } - 3 \sqrt { 7 } ) ( \sqrt { 2 x } - 3 \sqrt { 3 } )$

question 10

Multiple Choice

Multiply, and then simplify if possible. Assume all variables represent positive real numbers.
- $( \sqrt { 2 x } - 3 \sqrt { 7 } ) ( \sqrt { 2 x } - 3 \sqrt { 3 } )$

• A) \(2 x - 3 \sqrt { 6 x } - 3 \sqrt { 14 x } + 9 \sqrt { 7 }\)
• B) \(2 x - 3 \sqrt { 42 x } + 9 \sqrt { 21 }\)
• C) \(4 x ^ { 2 } - 3 \sqrt { 6 x } - 3 \sqrt { 14 x } + 9 \sqrt { 21 }\)
• D) \(2 x - 3 \sqrt { 6 x } - 3 \sqrt { 14 x } + 9 \sqrt { 21 }\)

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Definitions:

Process Time

The time to produce a unit (or specified batch of units) at a workstation.

Cycle Time

The maximum time that a product is allowed at each workstation.

Design Capacity

The theoretical maximum output of a system in a given period under ideal conditions.

Theoretical Maximum

The highest possible outcome or performance level under ideal conditions with no constraints or limitations.