What is (1-i)/(1+sqrt(3)i) ?

The solution to (1-i)/(1+sqrt(3)i) is (1-sqrt(3))/4+(-sqrt(3)-1)/4 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-i)/(1+sqrt(3)i)

simplify

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

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

Solution steps

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

Multiply by the conjugate

\frac{1 - 3 i}{1 - 3 i}

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

Simplify

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

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

Rewrite in standard complex form:

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

= \frac{1 - 3}{4} + \frac{- 3 - 1}{4} i

∣ 1 - 5 x ∣ = 1

2 a^{2} + a

m^{2} - 3 m + mn - 3 n

- 6 < 6 - 2 x \leq 14

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

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