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Formula
Calculate the value
$\sqrt{ 2 } \left( \sqrt{ 6 } +3 \sqrt{ 2 } \right) - \sqrt{ 3 }$
$\sqrt{ 3 } + 6$
Calculate the value
$\sqrt{ \color{#FF6800}{ 2 } } \left ( \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) - \sqrt{ 3 }$
 Multiply each term in parentheses by $\sqrt{ 2 }$
$\sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 6 } } + \sqrt{ \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) - \sqrt{ 3 }$
$\sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 6 } } + \sqrt{ 2 } \left ( 3 \sqrt{ 2 } \right ) - \sqrt{ 3 }$
 Calculate multiplication of root 
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } + \sqrt{ 2 } \left ( 3 \sqrt{ 2 } \right ) - \sqrt{ 3 }$
$2 \sqrt{ 3 } + \sqrt{ \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) - \sqrt{ 3 }$
 Get rid of unnecessary parentheses 
$2 \sqrt{ 3 } + \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } - \sqrt{ 3 }$
$2 \sqrt{ 3 } + \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } - \sqrt{ 3 }$
 Simplify the expression 
$2 \sqrt{ 3 } + \color{#FF6800}{ 6 } - \sqrt{ 3 }$
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } + 6 \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } }$
 Calculate between similar terms 
$\color{#FF6800}{ 1 } \sqrt{ \color{#FF6800}{ 3 } } + 6$
$\color{#FF6800}{ 1 } \sqrt{ 3 } + 6$
 Multiplying any number by 1 does not change the value 
$\sqrt{ 3 } + 6$
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