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$\color{#FF6800}{ \dfrac { 1 } { \sqrt{ 8 } } } - \dfrac { 1 } { \sqrt{ 2 } } + \dfrac { \sqrt{ 2 } } { 3 }$

$ $ Calculate the expression $ $

$\color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 4 } } - \dfrac { 1 } { \sqrt{ 2 } } + \dfrac { \sqrt{ 2 } } { 3 }$

$\dfrac { \sqrt{ 2 } } { 4 } - \color{#FF6800}{ \dfrac { 1 } { \sqrt{ 2 } } } + \dfrac { \sqrt{ 2 } } { 3 }$

$ $ Calculate the expression $ $

$\dfrac { \sqrt{ 2 } } { 4 } - \color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 2 } } + \dfrac { \sqrt{ 2 } } { 3 }$

$\color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 4 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \sqrt{ 2 } } { 3 } }$

$ $ Write all numerators above the least common denominator $ $

$\color{#FF6800}{ \dfrac { 3 \sqrt{ 2 } - 6 \sqrt{ 2 } + 4 \sqrt{ 2 } } { 12 } }$

$\dfrac { \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } } { 12 }$

$ $ Calculate between similar terms $ $

$\dfrac { \color{#FF6800}{ 1 } \sqrt{ \color{#FF6800}{ 2 } } } { 12 }$

$\dfrac { \color{#FF6800}{ 1 } \sqrt{ 2 } } { 12 }$

$ $ Multiplying any number by 1 does not change the value $ $

$\dfrac { \sqrt{ 2 } } { 12 }$