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Formula
Calculate the value
$\sqrt{ 27 } \left( \sqrt{ 6 } - \dfrac{ 2 }{ \sqrt{ 3 } } \right) -3 \left( \sqrt{ 8 } -1 \right)$
$3 \sqrt{ 2 } - 3$
Calculate the value
$\sqrt{ \color{#FF6800}{ 27 } } \left ( \sqrt{ 6 } - \dfrac { 2 } { \sqrt{ 3 } } \right ) - 3 \left ( \sqrt{ 8 } - 1 \right )$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 3 } } \left ( \sqrt{ 6 } - \dfrac { 2 } { \sqrt{ 3 } } \right ) - 3 \left ( \sqrt{ 8 } - 1 \right )$
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 3 } } \left ( \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 2 } { \sqrt{ 3 } } } \right ) - 3 \left ( \sqrt{ 8 } - 1 \right )$
 Expand the expression to calculate the value 
$\color{#FF6800}{ 9 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } - 3 \left ( \sqrt{ 8 } - 1 \right )$
$9 \sqrt{ 2 } - 6 - 3 \left ( \sqrt{ \color{#FF6800}{ 8 } } - 1 \right )$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$9 \sqrt{ 2 } - 6 - 3 \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } - 1 \right )$
$9 \sqrt{ 2 } - 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
 Multiply each term in parentheses by $- 3$
$9 \sqrt{ 2 } - 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right ) + \color{#FF6800}{ 3 }$
$9 \sqrt{ 2 } - 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right ) + 3$
 Get rid of unnecessary parentheses 
$9 \sqrt{ 2 } - 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } + 3$
$9 \sqrt{ 2 } - 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } + 3$
 Simplify the expression 
$9 \sqrt{ 2 } - 6 \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } } + 3$
$\color{#FF6800}{ 9 } \sqrt{ \color{#FF6800}{ 2 } } - 6 \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } } + 3$
 Calculate between similar terms 
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } - 6 + 3$
$3 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
 Add $- 6$ and $3$
$3 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
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