What is (sqrt(6)-isqrt(2))/(isqrt(3)) ?

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

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simplify (sqrt(6)-isqrt(2))/(isqrt(3))

simplify

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

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

Solution steps

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

Rewrite

6 - i 2

in standard complex form:

6 - 2 i

Rewrite

i 3

in standard complex form:

3 i

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

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 6 - 2 i ) ( - i )}{3 i ( - i )}

Simplify

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

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

Rewrite in standard complex form:

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

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

\frac{4}{3} \times π 3.3 5^{3}

(8 s - 2) \geq 0

- 4 x \geq 24

∣ 4 x ∣ > 8

y^{2} + 12 y + 4 = 0

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