en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

3 + i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 2 + 4 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{6 + 2 i}{2}

= \frac{6 + 2 i}{2}

Apply the fraction rule:

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

= \frac{6}{2} + \frac{2}{2} i

Simplify

\frac{6}{2} + \frac{2}{2} i : 3 + i

= 3 + i

Popular Examples

factor 49x^2-140xy+100y^2 factor

49 x^{2} - 140 x y + 100 y^{2}

\frac{x}{4} - 3 \geq - 5

x^{2} + 8 x \geq - 12

8 u^{2} + 8 u + 2 = 0

simplify (16a^4+16a)/(a^2+1-a)simplify

\frac{16 a ^{4} + 16 a}{a ^{2} + 1 - a}

Frequently Asked Questions (FAQ)

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