What is (2+3i)/(1+i) ?

The solution to (2+3i)/(1+i) is 5/2+1/2 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2+3i)/(1+i)

simplify

\frac{2 + 3 i}{1 + i}

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

Solution steps

\frac{2 + 3 i}{1 + i}

Multiply by the conjugate

\frac{1 - i}{1 - i}

= \frac{( 2 + 3 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 2 + 3 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{5 + i}{2}

= \frac{5 + i}{2}

Rewrite in standard complex form:

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

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

2 x (x + 3)

(- 7 + i)^{2}

(- x + 3)^{2}

(2 a - 1) (1 + 2 a)

\frac{1}{x} \cdot x