What is (sqrt(-24))/(sqrt(-4)\sqrt{-3)} ?

The solution to (sqrt(-24))/(sqrt(-4)\sqrt{-3)} is -sqrt(2)i

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simplify (sqrt(-24))/(sqrt(-4)\sqrt{-3)}

simplify

\frac{- 24}{- 4 - 3}

- 2 i

Solution steps

\frac{- 24}{- 4 - 3}

Factor

- 24 : 26

= \frac{2 6}{- 4 - 3}

Factor

6 : 23

= \frac{2 2 3}{- 4 - 3}

Factor

- 4 : 22

= \frac{2 2 3}{2 2 - 3}

Cancel the common factor:

2

= \frac{2 3}{2 - 3}

Apply radical rule:

a = a a

2 = 22

= \frac{2 2 3}{2 - 3}

Cancel the common factor:

2

= \frac{2 3}{- 3}

\frac{2 3}{- 3} = - 2 i

= - 2 i

\frac{4}{9} - \frac{1}{3}

\frac{9 x ^{3} + 6 x ^{2}}{3 x + 2}

\frac{1}{2} x + \frac{3}{4} \cdot 780

\frac{1}{2} \cdot (- 4)

(u - 4) (u + 7)

What is (sqrt(-24))/(sqrt(-4)\sqrt{-3)} ?
The solution to (sqrt(-24))/(sqrt(-4)\sqrt{-3)} is -sqrt(2)i