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$2 \sqrt{ a }$
Simplify the expression
$\sqrt{ \color{#FF6800}{ 12 } } + 2 \sqrt{ a } - \sqrt{ 108 } + \sqrt{ 48 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } + 2 \sqrt{ a } - \sqrt{ 108 } + \sqrt{ 48 }$
$2 \sqrt{ 3 } + 2 \sqrt{ a } - \sqrt{ \color{#FF6800}{ 108 } } + \sqrt{ 48 }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$2 \sqrt{ 3 } + 2 \sqrt{ a } - \left ( \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } \right ) + \sqrt{ 48 }$
$2 \sqrt{ 3 } + 2 \sqrt{ a } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } \right ) + \sqrt{ 48 }$
$ $ Get rid of unnecessary parentheses $ $
$2 \sqrt{ 3 } + 2 \sqrt{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } + \sqrt{ 48 }$
$2 \sqrt{ 3 } + 2 \sqrt{ a } - 6 \sqrt{ 3 } + \sqrt{ \color{#FF6800}{ 48 } }$
$ $ Organize the part that can be taken out of the radical sign inside the square root symbol $ $
$2 \sqrt{ 3 } + 2 \sqrt{ a } - 6 \sqrt{ 3 } + \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 3 } } + 2 \sqrt{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 3 } }$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ 0 } \sqrt{ \color{#FF6800}{ 3 } } + 2 \sqrt{ a }$
$\color{#FF6800}{ 0 } \sqrt{ 3 } + 2 \sqrt{ a }$
$ $ If you multiply a number by 0, it becomes 0 $ $
$\color{#FF6800}{ 0 } + 2 \sqrt{ a }$
$\color{#FF6800}{ 0 } + 2 \sqrt{ a }$
$ $ 0 does not change when you add or subtract $ $
$2 \sqrt{ a }$
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