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$2 \sqrt{ 3 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 75 } } - \dfrac { 9 } { \sqrt{ 3 } }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$\color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 3 } } - \dfrac { 9 } { \sqrt{ 3 } }$
$5 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { \color{#FF6800}{ 9 } } { \sqrt{ \color{#FF6800}{ 3 } } } }$
$ $ Calculate the expression $ $
$5 \sqrt{ 3 } - \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 3 } } \right )$
$5 \sqrt{ 3 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 3 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$5 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } }$
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