What is (2+5i)/(5+2i) ?

The solution to (2+5i)/(5+2i) is 20/29+21/29 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2+5i)/(5+2i)

simplify

\frac{2 + 5 i}{5 + 2 i}

\frac{20}{29} + \frac{21}{29} i

Solution steps

\frac{2 + 5 i}{5 + 2 i}

Multiply by the conjugate

\frac{5 - 2 i}{5 - 2 i}

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

Simplify

\frac{( 2 + 5 i ) ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )} : \frac{20 + 21 i}{29}

= \frac{20 + 21 i}{29}

Rewrite in standard complex form:

\frac{20}{29} + \frac{21}{29} i

= \frac{20}{29} + \frac{21}{29} i

1 + \frac{9}{16}

\frac{x ^{2} - 16}{2 x + 8}

- 7 (0.1 y - 0.1) + 4 y

\frac{7}{8} \times \frac{1}{2}

9 x - 4 x^{3}