simplify (2+5i)/i

Solution

simplify

\frac{2 + 5 i}{i}

5 - 2 i

Solution steps

\frac{2 + 5 i}{i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 2 + 5 i ) ( - i )}{i ( - i )}

Simplify

\frac{( 2 + 5 i ) ( - i )}{i ( - i )} : \frac{- 2 i + 5}{1}

= \frac{- 2 i + 5}{1}

Rewrite in standard complex form:

5 - 2 i

= 5 - 2 i

x^{3} + 5 x^{2} - 4 x - 20

a^{2} b^{3} - 4 b^{6} - 6 a^{2} + 24 b^{3}

(12 + 6) (- 8 - 2)

35000 \cdot (1 + 0.1)^{20}

2 x + \frac{4}{5} \leq 1