Simplify the Expression $( 7 + \sqrt { - 15 } ) ( 3 - \sqrt { - 17 } )$

question 42

Multiple Choice

Simplify the expression. Enter the answer in a + bi form. $( 7 + \sqrt { - 15 } ) ( 3 - \sqrt { - 17 } )$

• A) \(21 - \sqrt { 255 } + ( 3 \sqrt { 15 } + 7 \sqrt { 17 } ) i\)
• B) \(21 + \sqrt { 255 } + ( 3 \sqrt { 15 } + 7 \sqrt { 17 } ) i\)
• C) \(21 + \sqrt { 255 } + ( \sqrt [ 3 ] { 15 } - 7 \sqrt { 17 } ) i\)
• D) \(21 - \sqrt { 255 } + ( \sqrt [ 3 ] { 15 } - 7 \sqrt { 17 } ) i\)

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Definitions:

Critical Thinking

Thoroughly exploring and critiquing a problem in order to reach a determination.

Preconceptions

Ideas or opinions formed before having evidence for their truth or usefulness, often influencing new information interpretation.

Conceptualizations

The process of forming concepts or general notions of something by integrating particular instances or observations.