What is (2+3i)/(5+2i) ?

The solution to (2+3i)/(5+2i) is 16/29+11/29 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2+3i)/(5+2i)

simplify

\frac{2 + 3 i}{5 + 2 i}

\frac{16}{29} + \frac{11}{29} i

Solution steps

\frac{2 + 3 i}{5 + 2 i}

Multiply by the conjugate

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

= \frac{( 2 + 3 i ) ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )}

Simplify

\frac{( 2 + 3 i ) ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )} : \frac{16 + 11 i}{29}

= \frac{16 + 11 i}{29}

Rewrite in standard complex form:

\frac{16}{29} + \frac{11}{29} i

= \frac{16}{29} + \frac{11}{29} i

5 x^{4} - 80

\frac{14}{3 - 2}

\frac{5}{12} + \frac{1}{4}

- \frac{2}{9} - (- \frac{7}{6})

2 (x - 8)