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$\dfrac{ 3 \sqrt{ 2 } +12 }{ \sqrt{ 3 } } - \dfrac{ 2 \sqrt{ 6 } +8 \sqrt{ 3 } }{ \sqrt{ 8 } }$
$- \sqrt{ 6 } + 3 \sqrt{ 3 }$
Calculate the value
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 2 } + 12 } { \sqrt{ 3 } } } - \dfrac { 2 \sqrt{ 6 } + 8 \sqrt{ 3 } } { \sqrt{ 8 } }$
$ $ Calculate the expression $ $
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 6 } + 12 \sqrt{ 3 } } { 3 } } - \dfrac { 2 \sqrt{ 6 } + 8 \sqrt{ 3 } } { \sqrt{ 8 } }$
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 6 } + 12 \sqrt{ 3 } } { 3 } } - \dfrac { 2 \sqrt{ 6 } + 8 \sqrt{ 3 } } { \sqrt{ 8 } }$
$ $ Reduce the fraction $ $
$\sqrt{ \color{#FF6800}{ 6 } } + \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } - \dfrac { 2 \sqrt{ 6 } + 8 \sqrt{ 3 } } { \sqrt{ 8 } }$
$\sqrt{ 6 } + 4 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { 2 \sqrt{ 6 } + 8 \sqrt{ 3 } } { \sqrt{ 8 } } }$
$ $ Calculate the expression $ $
$\sqrt{ 6 } + 4 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { 4 \sqrt{ 3 } + 8 \sqrt{ 6 } } { 4 } }$
$\sqrt{ 6 } + 4 \sqrt{ 3 } - \color{#FF6800}{ \dfrac { 4 \sqrt{ 3 } + 8 \sqrt{ 6 } } { 4 } }$
$ $ Reduce the fraction $ $
$\sqrt{ 6 } + 4 \sqrt{ 3 } - \left ( \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \right )$
$\sqrt{ 6 } + 4 \sqrt{ 3 } \color{#FF6800}{ - } \left ( \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$\sqrt{ 6 } + 4 \sqrt{ 3 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } }$
$\sqrt{ \color{#FF6800}{ 6 } } + 4 \sqrt{ 3 } - \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 6 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ \color{#FF6800}{ 6 } } + 4 \sqrt{ 3 } - \sqrt{ 3 }$
$- 1 \sqrt{ 6 } + \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate between similar terms $ $
$- 1 \sqrt{ 6 } + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ 6 } + 3 \sqrt{ 3 }$
$ $ Multiplying any number by 1 does not change the value $ $
$- \sqrt{ 6 } + 3 \sqrt{ 3 }$
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