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Calculate the value
$\sqrt{ 144 } - \left( - \sqrt{ 6 } \right) ^{ 2 } - \dfrac{ 12 }{ \sqrt{ 3 } }$
$6 - 4 \sqrt{ 3 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 144 } } - \left ( - \sqrt{ 6 } \right ) ^ { 2 } - \dfrac { 12 } { \sqrt{ 3 } }$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$\color{#FF6800}{ 12 } - \left ( - \sqrt{ 6 } \right ) ^ { 2 } - \dfrac { 12 } { \sqrt{ 3 } }$
$12 - \left ( \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } - \dfrac { 12 } { \sqrt{ 3 } }$
 Remove negative signs because negative numbers raised to even powers are positive 
$12 - \left ( \sqrt{ 6 } \right ) ^ { 2 } - \dfrac { 12 } { \sqrt{ 3 } }$
$12 - \left ( \sqrt{ \color{#FF6800}{ 6 } } \right ) ^ { \color{#FF6800}{ 2 } } - \dfrac { 12 } { \sqrt{ 3 } }$
 If you square the radical sign, it will disappear 
$12 - \color{#FF6800}{ 6 } - \dfrac { 12 } { \sqrt{ 3 } }$
$12 - 6 - \color{#FF6800}{ \dfrac { 12 } { \sqrt{ 3 } } }$
 Calculate the expression 
$12 - 6 - \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } \right )$
$12 - 6 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } \right )$
 Get rid of unnecessary parentheses 
$12 - 6 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } - 4 \sqrt{ 3 }$
 Subtract $6$ from $12$
$\color{#FF6800}{ 6 } - 4 \sqrt{ 3 }$
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