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$\sqrt{ \color{#FF6800}{ 18 } } \left ( \sqrt{ 3 } - \sqrt{ 2 } \right ) - \dfrac { 6 \sqrt{ 3 } } { \sqrt{ 2 } }$

$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $

$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \left ( \sqrt{ 3 } - \sqrt{ 2 } \right ) - \dfrac { 6 \sqrt{ 3 } } { \sqrt{ 2 } }$

$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \left ( \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \right ) - \dfrac { 6 \sqrt{ 3 } } { \sqrt{ 2 } }$

$ $ Expand the expression to calculate the value $ $

$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } - \dfrac { 6 \sqrt{ 3 } } { \sqrt{ 2 } }$

$3 \sqrt{ 6 } - 6 - \color{#FF6800}{ \dfrac { 6 \sqrt{ 3 } } { \sqrt{ 2 } } }$

$ $ Calculate the expression $ $

$3 \sqrt{ 6 } - 6 - \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } \right )$

$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } - 6 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 6 } } \right )$

$ $ Remove the two numbers if the values are the same and the signs are different $ $

$- 6$