What is (sqrt(-8))/(sqrt(2)) ?

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

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simplify (sqrt(-8))/(sqrt(2))

simplify

\frac{- 8}{2}

2 i

Solution steps

\frac{- 8}{2}

Apply radical rule:

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

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

= \frac{- 8}{2}

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

= - 4

Apply radical rule:

- a = - 1 a

- 4 = - 1 4

= - 1 4

Apply imaginary number rule:

- 1 = i

= 4 i

4 = 2

= 2 i

x \times 1 - x

t^{- \frac{1}{3}} x^{- \frac{4}{3}} (5 t^{3} x^{2} - 8 t x^{3})

\frac{( 3 x - 4 ) ( 3 - 2 x )}{4 x ^{2} - 1}

\frac{13}{3}