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In a answered math the problem [tex]\sqrt{-2}[/tex] plus [tex]\sqrt{-18}[/tex] was [tex]4\sqrt{2i}[/tex] as it was rewritten as [tex]\sqrt{2i} + \sqrt{18i}[/tex]. Why can [tex]\sqrt{-2}[/tex] be written as[tex]\sqrt{2i}[/tex]

Respuesta :

Ok so basically this is this and that is that !
loneguy

[tex]\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i[/tex]

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