en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 8/(4-i)

Solution

simplify

\frac{8}{4 - i}

Solution

\frac{32}{17} + \frac{8}{17} i

Solution steps

\frac{8}{4 - i}

Multiply by the conjugate

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

= \frac{8 ( 4 + i )}{( 4 - i ) ( 4 + i )}

Simplify

\frac{8 ( 4 + i )}{( 4 - i ) ( 4 + i )} : \frac{32 + 8 i}{17}

= \frac{32 + 8 i}{17}

Rewrite in standard complex form:

\frac{32}{17} + \frac{8}{17} i

= \frac{32}{17} + \frac{8}{17} i

Popular Examples

simplify (s^2-81)/(s^2-18s+81)simplify

\frac{s ^{2} - 81}{s ^{2} - 18 s + 81}

simplify 1/9 \times 2 simplify

\frac{1}{9} \times 2

factor-4x^2+12x-8 factor

- 4 x^{2} + 12 x - 8

simplify sqrt(16xy^2)simplify

16 x y^{2}

simplify (2pi)/pi simplify

\frac{2 π}{π}

Frequently Asked Questions (FAQ)

What is 8/(4-i) ?
The solution to 8/(4-i) is 32/17+8/17 i