en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4+3i)/(1+2i)

Solution

simplify

\frac{4 + 3 i}{1 + 2 i}

Solution

2 - i

Solution steps

\frac{4 + 3 i}{1 + 2 i}

Multiply by the conjugate

\frac{1 - 2 i}{1 - 2 i}

= \frac{( 4 + 3 i ) ( 1 - 2 i )}{( 1 + 2 i ) ( 1 - 2 i )}

Simplify

\frac{( 4 + 3 i ) ( 1 - 2 i )}{( 1 + 2 i ) ( 1 - 2 i )} : \frac{10 - 5 i}{5}

= \frac{10 - 5 i}{5}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{10}{5} + \frac{- 5}{5} i

Simplify

\frac{10}{5} + \frac{- 5}{5} i : 2 - i

= 2 - i

Popular Examples

simplify sqrt(260)simplify

260

b^{2} + 25 b = 0

simplify 3-10 simplify

3 - 10

a^{2} + 1 = 0

simplify (2/5+1/2)/(1/10+3/15)simplify

\frac{\frac{2}{5} + \frac{1}{2}}{\frac{1}{10} + \frac{3}{15}}

Frequently Asked Questions (FAQ)

What is (4+3i)/(1+2i) ?
The solution to (4+3i)/(1+2i) is 2-i