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Formula
Calculate the value
Answer
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$\left( - \dfrac{ 1 }{ 4 } \sqrt{ \dfrac{ 5 }{ 4 } } \right) \times \left( - \dfrac{ 8 }{ 3 } \sqrt{ \dfrac{ 24 }{ 5 } } \right)$
$\dfrac { 2 \sqrt{ 6 } } { 3 }$
Calculate the value
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } } \sqrt{ \color{#FF6800}{ \dfrac { 5 } { 4 } } } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 } { 3 } } \sqrt{ \color{#FF6800}{ \dfrac { 24 } { 5 } } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 4 } } \sqrt{ \color{#FF6800}{ \dfrac { 5 } { 4 } } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 8 } { 3 } } \right ) \sqrt{ \color{#FF6800}{ \dfrac { 24 } { 5 } } }$
$\color{#FF6800}{ - } \dfrac { 1 } { 4 } \sqrt{ \dfrac { 5 } { 4 } } \times \left ( \color{#FF6800}{ - } \dfrac { 8 } { 3 } \right ) \sqrt{ \dfrac { 24 } { 5 } }$
$ $ Since negative numbers are multiplied by an even number, remove the (-) sign $ $
$\dfrac { 1 } { 4 } \sqrt{ \dfrac { 5 } { 4 } } \times \dfrac { 8 } { 3 } \sqrt{ \dfrac { 24 } { 5 } }$
$\color{#FF6800}{ \dfrac { 1 } { 4 } } \sqrt{ \color{#FF6800}{ \dfrac { 5 } { 4 } } } \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { 8 } { 3 } } \sqrt{ \color{#FF6800}{ \dfrac { 24 } { 5 } } }$
$ $ Calculate the value that contains root $ $
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 6 } } { 3 } }$
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