Real / Imaginary Parts

**TheOriginal08** · February 28th 2009, 09:42 PM

Find the real and imaginary parts of the complex number.
i√2

Can someone explain the steps of finding this? Thanks!

**Prove It** · February 28th 2009, 10:30 PM

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 $z$ is defined to be

$z = x + iy$ ,

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

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

What are the real and imaginary parts of $z$ ?

**mr fantastic** · February 28th 2009, 10:30 PM

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

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