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Formula
Calculate the value
$\sqrt{ 7+4 \sqrt{ 3 } } + \sqrt{ 7-4 \sqrt{ 3 } }$
$4$
Calculate the value
$\sqrt{ \color{#FF6800}{ 7 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } } + \sqrt{ 7 - 4 \sqrt{ 3 } }$
 Simplify the expression by arranging the expression in the radical sign 
$\sqrt{ \color{#FF6800}{ 3 } } + \color{#FF6800}{ 2 } + \sqrt{ 7 - 4 \sqrt{ 3 } }$
$\sqrt{ 3 } + 2 + \sqrt{ \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } } }$
 Simplify the expression by arranging the expression in the radical sign 
$\sqrt{ 3 } + 2 + \color{#FF6800}{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } }$
$\sqrt{ \color{#FF6800}{ 3 } } + 2 + 2 \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 3 } }$
 Remove the two numbers if the values are the same and the signs are different 
$2 + 2$
$\color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 2 }$
 Add $2$ and $2$
$\color{#FF6800}{ 4 }$
Solution search results