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$- \sqrt{ 2 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ 27 } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 2 } } { \sqrt{ \color{#FF6800}{ 6 } } } } - \sqrt{ 40 } \div \dfrac { \sqrt{ 5 } } { 2 }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 27 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \sqrt{ \color{#FF6800}{ 6 } } } } - \sqrt{ 40 } \div \dfrac { \sqrt{ 5 } } { 2 }$
$\color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 27 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \sqrt{ \color{#FF6800}{ 6 } } } } - \sqrt{ 40 } \div \dfrac { \sqrt{ 5 } } { 2 }$
$ $ Calculate the expression $ $
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } - \sqrt{ 40 } \div \dfrac { \sqrt{ 5 } } { 2 }$
$3 \sqrt{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 40 } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 5 } } } { \color{#FF6800}{ 2 } } }$
$ $ Arrange the terms multiplied by fractions $ $
$3 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 40 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \sqrt{ \color{#FF6800}{ 5 } } } }$
$3 \sqrt{ 2 } - \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 40 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } } { \sqrt{ \color{#FF6800}{ 5 } } } }$
$ $ Calculate the expression $ $
$3 \sqrt{ 2 } - \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$3 \sqrt{ 2 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$3 \sqrt{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ 2 }$
$ $ Multiplying any number by 1 does not change the value $ $
$- \sqrt{ 2 }$
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