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Solve the equation
$\sqrt{ 0.8 } = k \sqrt{ 5 }$
$k = \dfrac { 2 } { 5 }$
 Solve a solution to $k$
$\sqrt{ \color{#FF6800}{ 0.8 } } = k \sqrt{ 5 }$
 Convert decimals to fractions 
$\sqrt{ \color{#FF6800}{ \dfrac { 4 } { 5 } } } = k \sqrt{ 5 }$
$\sqrt{ \color{#FF6800}{ \dfrac { 4 } { 5 } } } = k \sqrt{ 5 }$
 Separate the radical sign from the denominator and numerator 
$\color{#FF6800}{ \dfrac { \sqrt{ 4 } } { \sqrt{ 5 } } } = k \sqrt{ 5 }$
$\dfrac { \sqrt{ \color{#FF6800}{ 4 } } } { \sqrt{ 5 } } = k \sqrt{ 5 }$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$\dfrac { \color{#FF6800}{ 2 } } { \sqrt{ 5 } } = k \sqrt{ 5 }$
$\dfrac { 2 } { \sqrt{ 5 } } = \color{#FF6800}{ k } \sqrt{ \color{#FF6800}{ 5 } }$
 Simplify the expression 
$\dfrac { 2 } { \sqrt{ 5 } } = \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ k }$
$\color{#FF6800}{ \dfrac { 2 } { \sqrt{ 5 } } } = \sqrt{ 5 } k$
 Calculate the expression 
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 5 } } { 5 } } = \sqrt{ 5 } k$
$\color{#FF6800}{ \dfrac { 2 \sqrt{ 5 } } { 5 } } = \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ k }$
 Organize the expression 
$\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ k } = \color{#FF6800}{ \dfrac { 2 \sqrt{ 5 } } { 5 } }$
$\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ k } = \color{#FF6800}{ \dfrac { 2 \sqrt{ 5 } } { 5 } }$
 Divide both sides by the same number 
$\color{#FF6800}{ k } = \color{#FF6800}{ \dfrac { 2 \sqrt{ 5 } } { 5 \sqrt{ 5 } } }$
$k = \color{#FF6800}{ \dfrac { 2 \sqrt{ 5 } } { 5 \sqrt{ 5 } } }$
 Calculate the expression 
$k = \color{#FF6800}{ \dfrac { 2 } { 5 } }$
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