What is (sqrt(18))/(2isqrt(6)) ?

The solution to (sqrt(18))/(2isqrt(6)) is -(sqrt(3))/2 i

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simplify (sqrt(18))/(2isqrt(6))

simplify

\frac{18}{2 i 6}

- \frac{3}{2} i

Solution steps

\frac{18}{2 i 6}

Rewrite

2 i 6

in standard complex form:

26 i

= \frac{18}{2 6 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{18 ( - i )}{2 6 i ( - i )}

Simplify

\frac{18 ( - i )}{2 6 i ( - i )} : \frac{- 2 \cdot 3 i}{2 6}

= \frac{- 2 \cdot 3 i}{2 6}

Cancel

\frac{- 2 \cdot 3 i}{2 6} : - \frac{3 i}{2}

= - \frac{3 i}{2}

Rewrite in standard complex form:

- \frac{3}{2} i

= - \frac{3}{2} i

- 12 - 12

- 8 + 15

\frac{2 ^{6}}{2 ^{3}}

100 v^{3}

\frac{\frac{x ^{2} - 1}{x ^{2} - 5 x - 6}}{\frac{5 x + 25}{x - 6}}

What is (sqrt(18))/(2isqrt(6)) ?
The solution to (sqrt(18))/(2isqrt(6)) is -(sqrt(3))/2 i