What is (sqrt(-80))/(sqrt(5)) ?

The solution to (sqrt(-80))/(sqrt(5)) is 4i

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simplify (sqrt(-80))/(sqrt(5))

simplify

\frac{- 80}{5}

4 i

Solution steps

\frac{- 80}{5}

Apply radical rule:

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

\frac{- 80}{5} = \frac{- 80}{5}

= \frac{- 80}{5}

\frac{- 80}{5} = - 16

= - 16

Apply radical rule:

- a = - 1 a

- 16 = - 1 16

= - 1 16

Apply imaginary number rule:

- 1 = i

= 16 i

16 = 4

= 4 i

x \cdot x - 1