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$2 \sqrt{ 5 }$
Calculate the value
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } } { \sqrt{ \color{#FF6800}{ 35 } } } } \sqrt{ \color{#FF6800}{ 7 } } + \dfrac { \sqrt{ 90 } } { 6 } \div \dfrac { 5 \sqrt{ 2 } } { 8 }$
$ $ Arrange the terms multiplied by fractions $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 7 } } } { \sqrt{ \color{#FF6800}{ 35 } } } } + \dfrac { \sqrt{ 90 } } { 6 } \div \dfrac { 5 \sqrt{ 2 } } { 8 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 7 } } } { \sqrt{ \color{#FF6800}{ 35 } } } } + \dfrac { \sqrt{ 90 } } { 6 } \div \dfrac { 5 \sqrt{ 2 } } { 8 }$
$ $ Calculate the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } } { \color{#FF6800}{ 5 } } } + \dfrac { \sqrt{ 90 } } { 6 } \div \dfrac { 5 \sqrt{ 2 } } { 8 }$
$\dfrac { 6 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 90 } } } { \color{#FF6800}{ 6 } } } \color{#FF6800}{ \div } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 8 } } }$
$ $ Arrange the terms multiplied by fractions $ $
$\dfrac { 6 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { \sqrt{ \color{#FF6800}{ 90 } } \color{#FF6800}{ \times } \color{#FF6800}{ 8 } } { \color{#FF6800}{ 6 } \left ( \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } } \right ) } }$
$\dfrac { 6 \sqrt{ 5 } } { 5 } + \dfrac { \sqrt{ \color{#FF6800}{ 90 } } \color{#FF6800}{ \times } \color{#FF6800}{ 8 } } { 6 \left ( 5 \sqrt{ 2 } \right ) }$
$ $ Simplify the expression $ $
$\dfrac { 6 \sqrt{ 5 } } { 5 } + \dfrac { \color{#FF6800}{ 24 } \sqrt{ \color{#FF6800}{ 10 } } } { 6 \left ( 5 \sqrt{ 2 } \right ) }$
$\dfrac { 6 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 24 } \sqrt{ \color{#FF6800}{ 10 } } } { \color{#FF6800}{ 6 } \left ( \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } } \right ) } }$
$ $ Reduce the fraction $ $
$\dfrac { 6 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 10 } } } { \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } } } }$
$\dfrac { 6 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 10 } } } { \color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } } } }$
$ $ Calculate the expression $ $
$\dfrac { 6 \sqrt{ 5 } } { 5 } + \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 5 } } } { \color{#FF6800}{ 5 } } }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } } { \color{#FF6800}{ 5 } } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 5 } } } { \color{#FF6800}{ 5 } } }$
$ $ Combine the fraction with the same denominator $ $
$\dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
$\dfrac { \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
$ $ Calculate between similar terms $ $
$\dfrac { \color{#FF6800}{ 10 } \sqrt{ \color{#FF6800}{ 5 } } } { 5 }$
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 10 } \sqrt{ \color{#FF6800}{ 5 } } } { \color{#FF6800}{ 5 } } }$
$ $ Reduce the fraction $ $
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } }$
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