Write this complex number on the form a + bi

I'm dealing with this problem where I'm to write the complex number below on the form a + bi.

I've tried writing it as

Then I tried multiplying by the conjugate, writing it using polar coordinates, considering the squre root as an exponent of 0.5 etc. However, I just kept reaching a dead end. The expression is supposedly equal to

How do I go about?

Re: Write this complex number on the form a + bi

You suspect have misread the answer you are supposed to get. It should be or either of which is equal to .

You get that by, as you say, multiplying by the conjugate. Then "rationalize the denominator".

Re: Write this complex number on the form a + bi

Quote:

Originally Posted by

**MathCrusader** I'm dealing with this problem where I'm to write the complex number below on the form a + bi.

I've tried writing it as

How do I go about?