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Formula
Calculate the value
Answer
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$\sqrt{ -2 } \times \sqrt{ -1 }$
$- \sqrt{ 2 }$
Calculate the value
$\sqrt{ \color{#FF6800}{ - } \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ - } \color{#FF6800}{ 1 } }$
$ $ Calculate the multiplication that includes root $ $
$\sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ i } \sqrt{ \color{#FF6800}{ - } \color{#FF6800}{ 1 } }$
$\sqrt{ 2 } i \sqrt{ \color{#FF6800}{ - } \color{#FF6800}{ 1 } }$
$ $ It is $ \sqrt{-1} = i$
$\sqrt{ 2 } i \color{#FF6800}{ i }$
$\sqrt{ 2 } \color{#FF6800}{ i } \color{#FF6800}{ i }$
$ $ It is $ i \times i = -1$
$\sqrt{ 2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$\sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Simplify the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ 1 } \sqrt{ 2 }$
$ $ Multiplying any number by 1 does not change the value $ $
$- \sqrt{ 2 }$
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