What is (sqrt(-8))/(sqrt(4)) ?

The solution to (sqrt(-8))/(sqrt(4)) is sqrt(2)i

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simplify (sqrt(-8))/(sqrt(4))

simplify

\frac{- 8}{4}

2 i

Solution steps

\frac{- 8}{4}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}

\frac{- 8}{4} = \frac{- 8}{4}

= \frac{- 8}{4}

\frac{- 8}{4} = - 2

= - 2

Apply radical rule:

- a = - 1 a

- 2 = - 1 2

= - 1 2

Apply imaginary number rule:

- 1 = i

= 2 i

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