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Formula
Calculate the value
$\dfrac{ 6 }{ \sqrt{ 18 } } - \dfrac{ \sqrt{ 8 } }{ 4 } +6 \sqrt{ 2 }$
$\dfrac { 13 \sqrt{ 2 } } { 2 }$
Calculate the value
$\color{#FF6800}{ \dfrac { 6 } { \sqrt{ 18 } } } - \dfrac { \sqrt{ 8 } } { 4 } + 6 \sqrt{ 2 }$
 Calculate the expression 
$\sqrt{ \color{#FF6800}{ 2 } } - \dfrac { \sqrt{ 8 } } { 4 } + 6 \sqrt{ 2 }$
$\sqrt{ 2 } - \dfrac { \sqrt{ \color{#FF6800}{ 8 } } } { 4 } + 6 \sqrt{ 2 }$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$\sqrt{ 2 } - \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } } { 4 } + 6 \sqrt{ 2 }$
$\sqrt{ 2 } - \color{#FF6800}{ \dfrac { 2 \sqrt{ 2 } } { 4 } } + 6 \sqrt{ 2 }$
 Reduce the fraction 
$\sqrt{ 2 } - \color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 2 } } + 6 \sqrt{ 2 }$
$\sqrt{ \color{#FF6800}{ 2 } } - \dfrac { \sqrt{ 2 } } { 2 } + 6 \sqrt{ 2 }$
 Convert an equation to a fraction using $a=\dfrac{a}{1}$
$\color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 1 } } - \dfrac { \sqrt{ 2 } } { 2 } + 6 \sqrt{ 2 }$
$\dfrac { \sqrt{ 2 } } { 1 } - \dfrac { \sqrt{ 2 } } { 2 } + \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } }$
 Convert an equation to a fraction using $a=\dfrac{a}{1}$
$\dfrac { \sqrt{ 2 } } { 1 } - \dfrac { \sqrt{ 2 } } { 2 } + \color{#FF6800}{ \dfrac { 6 \sqrt{ 2 } } { 1 } }$
$\color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 1 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 6 \sqrt{ 2 } } { 1 } }$
 Write all numerators above the least common denominator 
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 2 } - \sqrt{ 2 } + 12 \sqrt{ 2 } } { 2 } }$
$\dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \sqrt{ \color{#FF6800}{ 2 } } } { 2 }$
 Calculate between similar terms 
$\dfrac { \color{#FF6800}{ 13 } \sqrt{ \color{#FF6800}{ 2 } } } { 2 }$
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