What is (sqrt(-27))/(sqrt(3)) ?

The solution to (sqrt(-27))/(sqrt(3)) is 3i

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simplify (sqrt(-27))/(sqrt(3))

simplify

\frac{- 27}{3}

3 i

Solution steps

\frac{- 27}{3}

Apply radical rule:

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

\frac{- 27}{3} = \frac{- 27}{3}

= \frac{- 27}{3}

\frac{- 27}{3} = - 9

= - 9

Apply radical rule:

- a = - 1 a

- 9 = - 1 9

= - 1 9

Apply imaginary number rule:

- 1 = i

= 9 i

9 = 3

= 3 i

(x - 2) (x + 2)

5.3 \cdot 1 0^{- 3}

(a)^{3}

\frac{- 15}{- 5}

3 \cdot e^{- 3}