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Formula
Calculate the value
$\sqrt{ 8.2 ^{ 2 } -1.8 ^{ 2 } }$
$8$
Calculate the value
$\sqrt{ \color{#FF6800}{ 8.2 } ^ { 2 } - 1.8 ^ { 2 } }$
 Convert decimals to fractions 
$\sqrt{ \left ( \color{#FF6800}{ \dfrac { 41 } { 5 } } \right ) ^ { 2 } - 1.8 ^ { 2 } }$
$\sqrt{ \left ( \color{#FF6800}{ \dfrac { 41 } { 5 } } \right ) ^ { \color{#FF6800}{ 2 } } - 1.8 ^ { 2 } }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$\sqrt{ \dfrac { \color{#FF6800}{ 41 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } } - 1.8 ^ { 2 } }$
$\sqrt{ \dfrac { \color{#FF6800}{ 41 } ^ { \color{#FF6800}{ 2 } } } { 5 ^ { 2 } } - 1.8 ^ { 2 } }$
 Calculate power 
$\sqrt{ \dfrac { \color{#FF6800}{ 1681 } } { 5 ^ { 2 } } - 1.8 ^ { 2 } }$
$\sqrt{ \dfrac { 1681 } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } } - 1.8 ^ { 2 } }$
 Calculate power 
$\sqrt{ \dfrac { 1681 } { \color{#FF6800}{ 25 } } - 1.8 ^ { 2 } }$
$\sqrt{ \dfrac { 1681 } { 25 } - \color{#FF6800}{ 1.8 } ^ { 2 } }$
 Convert decimals to fractions 
$\sqrt{ \dfrac { 1681 } { 25 } - \left ( \color{#FF6800}{ \dfrac { 9 } { 5 } } \right ) ^ { 2 } }$
$\sqrt{ \dfrac { 1681 } { 25 } - \left ( \color{#FF6800}{ \dfrac { 9 } { 5 } } \right ) ^ { \color{#FF6800}{ 2 } } }$
 When raising a fraction to the power, raise the numerator and denominator each to the power 
$\sqrt{ \dfrac { 1681 } { 25 } - \dfrac { \color{#FF6800}{ 9 } ^ { \color{#FF6800}{ 2 } } } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } } }$
$\sqrt{ \dfrac { 1681 } { 25 } - \dfrac { \color{#FF6800}{ 9 } ^ { \color{#FF6800}{ 2 } } } { 5 ^ { 2 } } }$
 Calculate power 
$\sqrt{ \dfrac { 1681 } { 25 } - \dfrac { \color{#FF6800}{ 81 } } { 5 ^ { 2 } } }$
$\sqrt{ \dfrac { 1681 } { 25 } - \dfrac { 81 } { \color{#FF6800}{ 5 } ^ { \color{#FF6800}{ 2 } } } }$
 Calculate power 
$\sqrt{ \dfrac { 1681 } { 25 } - \dfrac { 81 } { \color{#FF6800}{ 25 } } }$
$\sqrt{ \color{#FF6800}{ \dfrac { 1681 } { 25 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 81 } { 25 } } }$
 Find the difference between the two fractions $\dfrac { 1681 } { 25 }$ and $- \dfrac { 81 } { 25 }$
$\sqrt{ \color{#FF6800}{ 64 } }$
$\sqrt{ \color{#FF6800}{ 64 } }$
 Organize the part that can be taken out of the radical sign inside the square root symbol 
$\color{#FF6800}{ 8 }$
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