# Real / Imaginary Parts

• Feb 28th 2009, 09:42 PM
TheOriginal08
Real / Imaginary Parts
Find the real and imaginary parts of the complex number.
i√2

Can someone explain the steps of finding this? Thanks!
• Feb 28th 2009, 10:30 PM
Prove It
Quote:

Originally Posted by TheOriginal08
Find the real and imaginary parts of the complex number.
i√2

Can someone explain the steps of finding this? Thanks!

A complex number $\displaystyle z$ is defined to be

$\displaystyle z = x + iy$,

where $\displaystyle x$ and $\displaystyle y$ are real numbers, and $\displaystyle i=\sqrt{-1}$. $\displaystyle x$ is the REAL part of $\displaystyle z$ and $\displaystyle y$ is the IMAGINARY part of $\displaystyle z$.

Notice that $\displaystyle z = i\sqrt{2} = 0 + i\sqrt{2}$.

What are the real and imaginary parts of $\displaystyle z$?
• Feb 28th 2009, 10:30 PM
mr fantastic
Quote:

Originally Posted by TheOriginal08
Find the real and imaginary parts of the complex number.
i√2

Can someone explain the steps of finding this? Thanks!

If z = x + iy then Re(z) = x and Im(z) = y.

Yuo have $\displaystyle z = 0 + i \sqrt{2} \, ....$