en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(2+4i)

Solution

simplify

\frac{1}{2 + 4 i}

Solution

\frac{1}{10} - \frac{1}{5} i

Solution steps

\frac{1}{2 + 4 i}

Multiply by the conjugate

\frac{2 - 4 i}{2 - 4 i}

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

Simplify

\frac{1 \cdot ( 2 - 4 i )}{( 2 + 4 i ) ( 2 - 4 i )} : \frac{2 - 4 i}{20}

= \frac{2 - 4 i}{20}

Apply the fraction rule:

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

= \frac{2}{20} + \frac{- 4}{20} i

Simplify

\frac{2}{20} + \frac{- 4}{20} i : \frac{1}{10} - \frac{1}{5} i

= \frac{1}{10} - \frac{1}{5} i

Popular Examples

\frac{75}{40}

simplify x^{5^2}simplify

x^{5^{2}}

factor 2x^2-22x+20 factor

2 x^{2} - 22 x + 20

simplify (3*6)/(3+6)simplify

\frac{3 \cdot 6}{3 + 6}

simplify sqrt(5)\times 10sqrt(30)simplify

5 \times 1030

Frequently Asked Questions (FAQ)

What is 1/(2+4i) ?
The solution to 1/(2+4i) is 1/10-1/5 i