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$3 \sqrt{ 2 } - 3 \sqrt{ 6 }$
Calculate the value
$\left ( \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Multiply each term in parentheses by $ \sqrt{ 3 }$
$\sqrt{ \color{#FF6800}{ 6 } } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \sqrt{ \color{#FF6800}{ 3 } }$
$\sqrt{ \color{#FF6800}{ 6 } } \sqrt{ \color{#FF6800}{ 3 } } + \left ( - 3 \sqrt{ 2 } \right ) \sqrt{ 3 }$
$ $ Calculate multiplication of root $ $
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } + \left ( - 3 \sqrt{ 2 } \right ) \sqrt{ 3 }$
$3 \sqrt{ 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Get rid of unnecessary parentheses $ $
$3 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 3 } }$
$3 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Simplify the expression $ $
$3 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } }$
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