en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1+5i)/(1+i)

Solution

simplify

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

Solution

3 + 2 i

Solution steps

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

Multiply by the conjugate

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

= \frac{( 1 + 5 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 1 + 5 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{6 + 4 i}{2}

= \frac{6 + 4 i}{2}

Apply the fraction rule:

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

= \frac{6}{2} + \frac{4}{2} i

Simplify

\frac{6}{2} + \frac{4}{2} i : 3 + 2 i

= 3 + 2 i

Popular Examples

3x^2-x+1=2x^2+5x-4

3 x^{2} - x + 1 = 2 x^{2} + 5 x - 4

simplify e^{-(ipi)/3}simplify

e^{- \frac{iπ}{3}}

factor k^4+10k^3+35k^2+50k+24 factor

k^{4} + 10 k^{3} + 35 k^{2} + 50 k + 24

x + 2 = 2 x - 1

9 (b + 7) = 72

Frequently Asked Questions (FAQ)

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