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$\sqrt{ \color{#FF6800}{ - } \color{#FF6800}{ 2 } } \sqrt{ \color{#FF6800}{ - } \color{#FF6800}{ 1 } }$

$ $ 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 $ $

$- \sqrt{ 2 }$