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Answer
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$\sqrt{ 2 } \times \sqrt{ 6 } +2 \div \sqrt{ 3 }$
$\dfrac { 8 \sqrt{ 3 } } { 3 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 6 } } + 2 \div \sqrt{ 3 }$
$ $ Calculate multiplication of root $ $
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } + 2 \div \sqrt{ 3 }$
$2 \sqrt{ 3 } + \color{#FF6800}{ 2 } \color{#FF6800}{ \div } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate the multiplication and division with square root $ $
$2 \sqrt{ 3 } + \color{#FF6800}{ \dfrac { 2 \sqrt{ 3 } } { 3 } }$
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } + \dfrac { 2 \sqrt{ 3 } } { 3 }$
$ $ Convert an equation to a fraction using $ a=\dfrac{a}{1}$
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 3 } } { 1 } } + \dfrac { 2 \sqrt{ 3 } } { 3 }$
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 3 } } { 1 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 2 \sqrt{ 3 } } { 3 } }$
$ $ Write all numerators above the least common denominator $ $
$\color{#FF6800}{ \dfrac { 6 \sqrt{ 3 } + 2 \sqrt{ 3 } } { 3 } }$
$\dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ 8 } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
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