What is (sqrt(-20))/(sqrt(5)) ?

The solution to (sqrt(-20))/(sqrt(5)) is 2i

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simplify (sqrt(-20))/(sqrt(5))

simplify

\frac{- 20}{5}

2 i

Solution steps

\frac{- 20}{5}

Apply radical rule:

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

\frac{- 20}{5} = \frac{- 20}{5}

= \frac{- 20}{5}

\frac{- 20}{5} = - 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

2^{x} \cdot 5^{x}

e^{- x} (e^{- x})

(x - 2)^{3} (x + 3)^{3}

\frac{- 50}{2}