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Formula
Find the approximate value
Square root
$5 \sqrt{ 2 }$
$\approx 7.0711$
Find the approximate value
$\color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } }$
 Find the approximate value of the square root 
$\approx \color{#FF6800}{ 7.0711 }$
$\sqrt{ 50 }$
Change the expression
$\color{#FF6800}{ 5 } \sqrt{ \color{#FF6800}{ 2 } }$
 Put the coefficient into the square root 
$\sqrt{ \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } }$
$\sqrt{ \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } }$
 Simplify the expression 
$\sqrt{ \color{#FF6800}{ 25 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } }$
$\sqrt{ \color{#FF6800}{ 25 } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } }$
 Multiply $25$ and $2$
$\sqrt{ \color{#FF6800}{ 50 } }$
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