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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

\frac{1 - - 1}{1 + - 1}

- i

Solution steps

\frac{1 - - 1}{1 + - 1}

Multiply by the conjugate

\frac{1 - - 1}{1 - - 1}

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

Expand

(1 - - 1) (1 - - 1) : - 2 i

Expand

(1 + - 1) (1 - - 1) : 2

= \frac{- 2 i}{2}

Cancel the common factor:

2

= - i

\frac{5 x}{2 x}

\frac{6}{7} + \frac{4}{5}

4 (x + h)^{3}

(x - 2)^{2} (x - 3)

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