examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Algebra
# Complex Numbers

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

True or False:

For complex numbers \(a\) and \(b\),

\[ |a| + |b| = |a+b|. \]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Evaluate

\[ i \times ( -i) . \]

**Note**: \(i \) is the imaginary unit, where \(i^2=-1\).

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

For any complex number \(z\), which of the following must be equal to

"the real part of the imaginary part of \(z\)"?

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Which of the following is equal to

\[ \frac{ 1 + i } { 1 - i }? \]

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

Are real numbers also complex numbers?

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

Sign up to access problem solutions.

by **Brilliant Staff**

×

Problem Loading...

Note Loading...

Set Loading...