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Formula
Calculate the value
Answer
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$$\sqrt{ 2 } \sqrt{ 6 } - 2 \div \sqrt{ 3 }$$
$\dfrac { 4 \sqrt{ 3 } } { 3 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ 6 } } - 2 \div \sqrt{ 3 }$
$ $ Calculate multiplication of root $ $
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } - 2 \div \sqrt{ 3 }$
$2 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ \div } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate the multiplication and division with square root $ $
$2 \sqrt{ 3 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 3 } } }$
$2 \sqrt{ 3 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 3 } } }$
$ $ Move the minus sign to the front of the fraction $ $
$2 \sqrt{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 3 } } }$
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } - \dfrac { 2 \sqrt{ 3 } } { 3 }$
$ $ Convert an equation to a fraction using $ a=\dfrac{a}{1}$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 1 } } } - \dfrac { 2 \sqrt{ 3 } } { 3 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 1 } } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 3 } } }$
$ $ Write all numerators above the least common denominator $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { \color{#FF6800}{ 3 } } }$
$\dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } } { 3 }$
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