What is (sqrt(3))/(sqrt(-2)) ?

The solution to (sqrt(3))/(sqrt(-2)) is -(sqrt(3))/(sqrt(2))i

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simplify (sqrt(3))/(sqrt(-2))

simplify

\frac{3}{- 2}

- \frac{3}{2} i

Solution steps

\frac{3}{- 2}

- 2 = 2 i

= \frac{3}{2 i}

Multiply by the conjugate

\frac{- i}{- i}

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

Simplify

\frac{3 ( - i )}{2 i ( - i )} : \frac{- 3 i}{2}

= \frac{- 3 i}{2}

Rewrite in standard complex form:

- \frac{3}{2} i

= - \frac{3}{2} i

(25) \cdot 2

(x + 1)^{4}

- \infty^{2} e^{- \infty}

\frac{- 2}{- 4}

What is (sqrt(3))/(sqrt(-2)) ?
The solution to (sqrt(3))/(sqrt(-2)) is -(sqrt(3))/(sqrt(2))i