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Formula
Calculate the value
$\dfrac{ \sqrt{ 6 } }{ 2 } \left( 4 \sqrt{ 2 } - \dfrac{ 1 }{ \sqrt{ 8 } } \right)$
$\dfrac { 15 \sqrt{ 3 } } { 4 }$
Calculate the value
$\dfrac { \sqrt{ 6 } } { 2 } \left ( 4 \sqrt{ 2 } - \color{#FF6800}{ \dfrac { 1 } { \sqrt{ 8 } } } \right )$
 Calculate the expression 
$\dfrac { \sqrt{ 6 } } { 2 } \left ( 4 \sqrt{ 2 } - \color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 4 } } \right )$
$\dfrac { \sqrt{ 6 } } { 2 } \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } - \dfrac { \sqrt{ 2 } } { 4 } \right )$
 Convert an equation to a fraction using $a=\dfrac{a}{1}$
$\dfrac { \sqrt{ 6 } } { 2 } \left ( \color{#FF6800}{ \dfrac { 4 \sqrt{ 2 } } { 1 } } - \dfrac { \sqrt{ 2 } } { 4 } \right )$
$\dfrac { \sqrt{ 6 } } { 2 } \left ( \color{#FF6800}{ \dfrac { 4 \sqrt{ 2 } } { 1 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 4 } } \right )$
 Write all numerators above the least common denominator 
$\dfrac { \sqrt{ 6 } } { 2 } \times \color{#FF6800}{ \dfrac { 16 \sqrt{ 2 } - \sqrt{ 2 } } { 4 } }$
$\color{#FF6800}{ \dfrac { \sqrt{ 6 } } { 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 16 \sqrt{ 2 } - \sqrt{ 2 } } { 4 } }$
 Arrange the terms multiplied by fractions 
$\color{#FF6800}{ \dfrac { \sqrt{ 6 } \left ( 16 \sqrt{ 2 } - \sqrt{ 2 } \right ) } { 2 \times 4 } }$
$\dfrac { \sqrt{ 6 } \left ( \color{#FF6800}{ 16 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \right ) } { 2 \times 4 }$
 Calculate between similar terms 
$\dfrac { \sqrt{ 6 } \times \color{#FF6800}{ 15 } \sqrt{ \color{#FF6800}{ 2 } } } { 2 \times 4 }$
$\dfrac { \sqrt{ \color{#FF6800}{ 6 } } \color{#FF6800}{ \times } \color{#FF6800}{ 15 } \sqrt{ \color{#FF6800}{ 2 } } } { 2 \times 4 }$
 Simplify the expression 
$\dfrac { \color{#FF6800}{ 30 } \sqrt{ \color{#FF6800}{ 3 } } } { 2 \times 4 }$
$\color{#FF6800}{ \dfrac { 30 \sqrt{ 3 } } { 2 \times 4 } }$
 Reduce the fraction 
$\color{#FF6800}{ \dfrac { 15 \sqrt{ 3 } } { 4 } }$
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