en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (41)/(5+4i)

Solution

simplify

\frac{41}{5 + 4 i}

Solution

5 - 4 i

Solution steps

\frac{41}{5 + 4 i}

Multiply by the conjugate

\frac{5 - 4 i}{5 - 4 i}

= \frac{41 ( 5 - 4 i )}{( 5 + 4 i ) ( 5 - 4 i )}

Simplify

\frac{41 ( 5 - 4 i )}{( 5 + 4 i ) ( 5 - 4 i )} : \frac{205 - 164 i}{41}

= \frac{205 - 164 i}{41}

Apply the fraction rule:

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

= \frac{205}{41} + \frac{- 164}{41} i

Simplify

\frac{205}{41} + \frac{- 164}{41} i : 5 - 4 i

= 5 - 4 i

Popular Examples

solvefor y,x^2+y^2-6x-10y+34=0 solve for

y, x^{2} + y^{2} - 6 x - 10 y + 34 = 0

- 9 p^{2} - 3 = 0

(x^2)/(x+1)>=-1

\frac{x ^{2}}{x + 1} \geq - 1

(x + 2) (x - 2) = 0

simplify 3\times 10^8 simplify

3 \times 1 0^{8}

Frequently Asked Questions (FAQ)

What is (41)/(5+4i) ?
The solution to (41)/(5+4i) is 5-4i