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$\dfrac { \sqrt{ 10 } } { 5 } + \sqrt{ \color{#FF6800}{ 10 } }$

$ $ Convert an equation to a fraction using $ a=\dfrac{a}{1}$

$\dfrac { \sqrt{ 10 } } { 5 } + \color{#FF6800}{ \dfrac { \sqrt{ 10 } } { 1 } }$

$\color{#FF6800}{ \dfrac { \sqrt{ 10 } } { 5 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \sqrt{ 10 } } { 1 } }$

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

$\color{#FF6800}{ \dfrac { \sqrt{ 10 } + 5 \sqrt{ 10 } } { 5 } }$

$\dfrac { \sqrt{ \color{#FF6800}{ 10 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 10 } } } { 5 }$

$ $ Calculate between similar terms $ $

$\dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 10 } } } { 5 }$