In a answered math the problem √(-2) plus √(-18) was 4√(2i) as it was rewritten as √(2i) + √(18i). Why can √(-2) be written as√(2i)

asked Jun 20, 2023 64.3k views

0 votes

In a answered math the problem
√(-2)

plus

was

as it was rewritten as
√(2i) + √(18i)

. Why can

be written as
√(2i)

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3 votes

Ok so basically this is this and that is that !

Chriskvik answered Jun 22, 2023

7.9k points

10 votes

$\text{The imaginary unit,}~ i = √(-1)\\\\√(-2) ~ \text{can be written as.}\\\\√(-2)\\\\=√(-1 \cdot 2)\\\\=√(-1) √(2)\\\\=i\sqrt 2\\\\=\sqrt 2 i$

Mahtab Alam answered Jun 24, 2023