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Formula
Calculate the value
$\sqrt{ 5 } \times \sqrt{ 5 }$
$5$
Calculate the value
$\sqrt{ \color{#FF6800}{ 5 } } \sqrt{ 5 }$
 If the exponent is omitted, the exponent of that term is equal to 1 
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 1 } } \sqrt{ 5 }$
$\left ( \sqrt{ 5 } \right ) ^ { 1 } \sqrt{ \color{#FF6800}{ 5 } }$
 If the exponent is omitted, the exponent of that term is equal to 1 
$\left ( \sqrt{ 5 } \right ) ^ { 1 } \left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 1 } }$
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 1 } }$
 Add the exponent as the base is the same 
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$\left ( \sqrt{ 5 } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
 Add $1$ and $1$
$\left ( \sqrt{ 5 } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 2 } }$
 If you square the radical sign, it will disappear 
$\color{#FF6800}{ 5 }$
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