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$\sqrt{ \color{#FF6800}{ 0.002 } } = x \sqrt{ 5 }$

$ $ Convert decimals to fractions $ $

$\sqrt{ \color{#FF6800}{ \dfrac { 1 } { 500 } } } = x \sqrt{ 5 }$

$\sqrt{ \color{#FF6800}{ \dfrac { 1 } { 500 } } } = x \sqrt{ 5 }$

$ $ Separate the radical sign from the denominator and numerator $ $

$\color{#FF6800}{ \dfrac { \sqrt{ 1 } } { \sqrt{ 500 } } } = x \sqrt{ 5 }$

$\dfrac { \sqrt{ \color{#FF6800}{ 1 } } } { \sqrt{ 500 } } = x \sqrt{ 5 }$

$n $ square root of 1 is 1 $ $

$\dfrac { \color{#FF6800}{ 1 } } { \sqrt{ 500 } } = x \sqrt{ 5 }$

$\dfrac { 1 } { \sqrt{ \color{#FF6800}{ 500 } } } = x \sqrt{ 5 }$

$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $

$\dfrac { 1 } { \color{#FF6800}{ 10 } \sqrt{ \color{#FF6800}{ 5 } } } = x \sqrt{ 5 }$

$\dfrac { 1 } { 10 \sqrt{ 5 } } = \color{#FF6800}{ x } \sqrt{ \color{#FF6800}{ 5 } }$

$ $ Simplify the expression $ $

$\dfrac { 1 } { 10 \sqrt{ 5 } } = \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ x }$

$\color{#FF6800}{ \dfrac { 1 } { 10 \sqrt{ 5 } } } = \sqrt{ 5 } x$

$ $ Calculate the expression $ $

$\color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 50 } } = \sqrt{ 5 } x$

$\color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 50 } } = \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ x }$

$ $ Organize the expression $ $

$\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 50 } }$

$\sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 50 } }$

$ $ Divide both sides by the same number $ $

$\color{#FF6800}{ x } = \color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 50 \sqrt{ 5 } } }$

$x = \color{#FF6800}{ \dfrac { \sqrt{ 5 } } { 50 \sqrt{ 5 } } }$

$ $ Calculate the expression $ $

$x = \color{#FF6800}{ \dfrac { 1 } { 50 } }$