What is (1+isqrt(2))/2-(1-isqrt(1/2)) ?

The solution to (1+isqrt(2))/2-(1-isqrt(1/2)) is -1/2+sqrt(2)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1+isqrt(2))/2-(1-isqrt(1/2))

simplify

\frac{1 + i 2}{2} - (1 - i \frac{1}{2})

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

Solution steps

\frac{1 + i 2}{2} - (1 - i \frac{1}{2})

Rewrite

1 - i \frac{1}{2}

in standard complex form:

1 - \frac{1}{2} i

Rewrite

1 + i 2

in standard complex form:

1 + 2 i

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

\frac{1}{2} = \frac{1}{2}

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

Simplify

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

= - \frac{1}{2} + 2 i

\frac{5 - x}{2} = 2 x - 7

1 8^{\frac{1}{2}}

4 x^{2 + 11 x - 3}

\frac{1}{x} < 10

8 x^{3} - 64

What is (1+isqrt(2))/2-(1-isqrt(1/2)) ?
The solution to (1+isqrt(2))/2-(1-isqrt(1/2)) is -1/2+sqrt(2)i