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Formula
Calculate the value
$\sqrt{ 18 } \left( \sqrt{ 3 } - \sqrt{ 2 } \right) - \dfrac{ 6 \sqrt{ 3 } }{ \sqrt{ 2 } }$
$- 6$
Calculate the value
$\sqrt{ \color{#FF6800}{ 18 } } \left ( \sqrt{ 3 } - \sqrt{ 2 } \right ) - \dfrac { 6 \sqrt{ 3 } } { \sqrt{ 2 } }$
 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 
$- 6$
Solution search results