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Calculate the value
Answer
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$\left( 3 \sqrt{ 5 } + \sqrt{ 7 } \right) \left( 3 \sqrt{ 5 } - \sqrt{ 7 } \right)$
$38$
Calculate the value
$\left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 7 } } \right ) \left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 7 } } \right )$
$ $ Expand the expression using $ \left(a - b\right)\left(a + b\right) = a^{2} - b^{2}$
$\left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \sqrt{ \color{#FF6800}{ 7 } } \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 2 } } - \left ( \sqrt{ 7 } \right ) ^ { 2 }$
$ $ Solve the power $ $
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 2 } } - \left ( \sqrt{ 7 } \right ) ^ { 2 }$
$\color{#FF6800}{ 3 } ^ { \color{#FF6800}{ 2 } } \left ( \sqrt{ 5 } \right ) ^ { 2 } - \left ( \sqrt{ 7 } \right ) ^ { 2 }$
$ $ Calculate power $ $
$\color{#FF6800}{ 9 } \left ( \sqrt{ 5 } \right ) ^ { 2 } - \left ( \sqrt{ 7 } \right ) ^ { 2 }$
$9 \left ( \sqrt{ \color{#FF6800}{ 5 } } \right ) ^ { \color{#FF6800}{ 2 } } - \left ( \sqrt{ 7 } \right ) ^ { 2 }$
$ $ If you square the radical sign, it will disappear $ $
$9 \times \color{#FF6800}{ 5 } - \left ( \sqrt{ 7 } \right ) ^ { 2 }$
$\color{#FF6800}{ 9 } \color{#FF6800}{ \times } \color{#FF6800}{ 5 } - \left ( \sqrt{ 7 } \right ) ^ { 2 }$
$ $ Multiply $ 9 $ and $ 5$
$\color{#FF6800}{ 45 } - \left ( \sqrt{ 7 } \right ) ^ { 2 }$
$45 - \left ( \sqrt{ \color{#FF6800}{ 7 } } \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ If you square the radical sign, it will disappear $ $
$45 - \color{#FF6800}{ 7 }$
$\color{#FF6800}{ 45 } \color{#FF6800}{ - } \color{#FF6800}{ 7 }$
$ $ Subtract $ 7 $ from $ 45$
$\color{#FF6800}{ 38 }$
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