What is (sqrt(-40))/(sqrt(20)) ?

The solution to (sqrt(-40))/(sqrt(20)) is sqrt(2)i

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simplify (sqrt(-40))/(sqrt(20))

simplify

\frac{- 40}{20}

2 i

Solution steps

\frac{- 40}{20}

Apply radical rule:

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

\frac{- 40}{20} = \frac{- 40}{20}

= \frac{- 40}{20}

\frac{- 40}{20} = - 2

= - 2

Apply radical rule:

- a = - 1 a

- 2 = - 1 2

= - 1 2

Apply imaginary number rule:

- 1 = i

= 2 i

e^{- 0.03} [0.3522 \cdot 0 + (1 - 0.3522) \cdot 10]

1 \cdot 1 \cdot (1 - 0.045)^{100 - 0}

5.21 \cdot 1 0^{- 10}

\frac{( \frac{9}{2} ) ^{10}}{( \frac{4}{9} ) ^{10}}

What is (sqrt(-40))/(sqrt(20)) ?
The solution to (sqrt(-40))/(sqrt(20)) is sqrt(2)i