en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

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

= \frac{20 i}{20}

Cancel the common factor:

20

= i

Popular Examples

simplify 1.25-1/5 simplify

1.25 - \frac{1}{5}

simplify 10/6-4/8 simplify

\frac{10}{6} - \frac{4}{8}

expand (x-a)(y+2)+b(y+2)expand

(x - a) (y + 2) + b (y + 2)

factor x^2a+x^2b factor

x^{2} a + x^{2} b

simplify (2+sqrt(3))/(1-sqrt(3))simplify

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

Frequently Asked Questions (FAQ)

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