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Formula
Calculate the value
Answer
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$\left( 2 \sqrt{ 2 } + \sqrt{ 3 } \right) - \left( 2 \sqrt{ 2 } - \sqrt{ 3 } \right)$
$2 \sqrt{ 3 }$
Calculate the value
$\left ( 2 \sqrt{ 2 } + \sqrt{ 3 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$\left ( 2 \sqrt{ 2 } + \sqrt{ 3 } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } + \sqrt{ \color{#FF6800}{ 3 } }$
$\left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } + \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } + \sqrt{ 3 }$
$ $ Eliminate opponent number $ $
$\sqrt{ 3 } + \sqrt{ 3 }$
$\sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } }$
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