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$\sqrt{ 6 } \div \dfrac{ 4 \sqrt{ 2 } }{ 3 } - \dfrac{ \sqrt{ 12 } }{ 4 } + \dfrac{ 3 }{ 4 \sqrt{ 3 } }$
$\dfrac { \sqrt{ 3 } } { 2 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { 4 \sqrt{ 2 } } { 3 } } - \dfrac { \sqrt{ 12 } } { 4 } + \dfrac { 3 } { 4 \sqrt{ 3 } }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ \dfrac { \sqrt{ 6 } \times 3 } { 4 \sqrt{ 2 } } } - \dfrac { \sqrt{ 12 } } { 4 } + \dfrac { 3 } { 4 \sqrt{ 3 } }$
$\color{#FF6800}{ \dfrac { \sqrt{ 6 } \times 3 } { 4 \sqrt{ 2 } } } - \dfrac { \sqrt{ 12 } } { 4 } + \dfrac { 3 } { 4 \sqrt{ 3 } }$
$ $ Calculate the expression $ $
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 3 } } { 4 } } - \dfrac { \sqrt{ 12 } } { 4 } + \dfrac { 3 } { 4 \sqrt{ 3 } }$
$\dfrac { 3 \sqrt{ 3 } } { 4 } - \dfrac { \sqrt{ \color{#FF6800}{ 12 } } } { 4 } + \dfrac { 3 } { 4 \sqrt{ 3 } }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$\dfrac { 3 \sqrt{ 3 } } { 4 } - \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { 4 } + \dfrac { 3 } { 4 \sqrt{ 3 } }$
$\dfrac { 3 \sqrt{ 3 } } { 4 } - \color{#FF6800}{ \dfrac { 2 \sqrt{ 3 } } { 4 } } + \dfrac { 3 } { 4 \sqrt{ 3 } }$
$ $ Reduce the fraction $ $
$\dfrac { 3 \sqrt{ 3 } } { 4 } - \color{#FF6800}{ \dfrac { \sqrt{ 3 } } { 2 } } + \dfrac { 3 } { 4 \sqrt{ 3 } }$
$\dfrac { 3 \sqrt{ 3 } } { 4 } - \dfrac { \sqrt{ 3 } } { 2 } + \color{#FF6800}{ \dfrac { 3 } { 4 \sqrt{ 3 } } }$
$ $ Calculate the expression $ $
$\dfrac { 3 \sqrt{ 3 } } { 4 } - \dfrac { \sqrt{ 3 } } { 2 } + \color{#FF6800}{ \dfrac { 3 \sqrt{ 3 } } { 12 } }$
$\dfrac { 3 \sqrt{ 3 } } { 4 } - \dfrac { \sqrt{ 3 } } { 2 } + \color{#FF6800}{ \dfrac { 3 \sqrt{ 3 } } { 12 } }$
$ $ Reduce the fraction $ $
$\dfrac { 3 \sqrt{ 3 } } { 4 } - \dfrac { \sqrt{ 3 } } { 2 } + \color{#FF6800}{ \dfrac { \sqrt{ 3 } } { 4 } }$
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 3 } } { 4 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 3 } } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \sqrt{ 3 } } { 4 } }$
$ $ Write all numerators above the least common denominator $ $
$\color{#FF6800}{ \dfrac { 3 \sqrt{ 3 } - 2 \sqrt{ 3 } + \sqrt{ 3 } } { 4 } }$
$\dfrac { \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 3 } } } { 4 }$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { 4 }$
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 3 } } { 4 } }$
$ $ Reduce the fraction $ $
$\color{#FF6800}{ \dfrac { \sqrt{ 3 } } { 2 } }$
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