Combine $( 9 + \sqrt { - 3 } ) ( 8 - \sqrt { - 21 } )$

question 2

Multiple Choice

Combine $( 9 + \sqrt { - 3 } ) ( 8 - \sqrt { - 21 } )$ and write the answer in standard form.

• A) \(72 + 3 \sqrt { 7 } i\)
• B) \(( 72 + 3 \sqrt { 7 } ) + ( 8 \sqrt { 3 } - 9 \sqrt { 21 } ) i\)
• C) \(8 \sqrt { 3 } - 3 \sqrt { 7 } i\)
• D) \(( 8 \sqrt { 3 } + 3 \sqrt { 7 } ) + ( 72 - 9 \sqrt { 7 } ) i\)
• E) \(3 \sqrt { 7 } - 8 \sqrt { 3 } i\)

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Definitions:

Fair 6-Sided Dice

A classic dice with six faces, each showing a number from one to six, where each number has an equal likelihood of appearing on a roll.

Record

An account or report documenting the occurrence or performance of something, often kept in writing or another permanent form.

Fair Coin

A hypothetical coin that has an equal probability of landing on heads or tails when flipped.

Fair 6-Sided Die

An unbiased die with six faces, each representing one of the numbers from 1 to 6, with an equal probability of landing on any number.