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:

Option Group

A collection of options presented together in user interfaces, allowing a single choice to be selected from a group.

Combo Box

An interactive element in a graphical user interface that allows a user to choose one of multiple predefined options or enter a custom choice.

Subform/Subreport Control

A feature in database software that allows for embedding a data form or report within another, facilitating hierarchical data presentation.

Command Button Wizard

A feature in software that guides users through the process of creating and configuring command buttons, including defining the action performed when the button is clicked.