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$4 \sqrt{ 2 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 6 } } \sqrt{ \color{#FF6800}{ 12 } } - \sqrt{ 24 } \div \sqrt{ 3 }$
$ $ Calculate multiplication of root $ $
$\color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } } - \sqrt{ 24 } \div \sqrt{ 3 }$
$6 \sqrt{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 24 } } \color{#FF6800}{ \div } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate the value that contains root $ $
$6 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \right ) \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 3 } } }$
$6 \sqrt{ 2 } - \dfrac { \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \right ) \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
$ $ Get rid of unnecessary parentheses $ $
$6 \sqrt{ 2 } - \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
$6 \sqrt{ 2 } - \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
$ $ Simplify the expression $ $
$6 \sqrt{ 2 } - \dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } } } { 3 }$
$6 \sqrt{ 2 } - \color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 3 } } }$
$ $ Reduce the fraction $ $
$6 \sqrt{ 2 } - \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$6 \sqrt{ 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$6 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } }$
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