Form the conjugate of the denominator,

The conjugate of a two-term expression

has the same first term, but the second

term has its sign changed.  So the

conjugate of  is

. So put this over

itself like this 

which just equals to 1.  Now multiply the 

original expression by that:







Now put parentheses around every expression with two terms:







Put it all as just one fraction







Distribute out the top, and FOIL out the bottom:







Notice that , , , and 









The two radical terms in the bottom cancel out and we just have







or just







or just









 

RELATED QUESTIONS

I am having trouble on my algebra homework and I have a test on this Monday.  I would... (answered by vidyamanohar)

Can you please show me how to work this problem out, I am having trouble w / it.

Solve  (answered by jim_thompson5910)

I am having trouble with another question for a homework assignment: 
For the line 7x-4y  (answered by Earlsdon)

Please help!! I have tried working this problem out but don't know if I did it right.... (answered by stanbon)

I am having a lot of trouble solving this problem. It involves factoring.  Here it is:... (answered by AnlytcPhil)

Hi thank you for reading this, I am having a little bit of trouble with solving this... (answered by Alan3354,stanbon)

I am having trouble understand how to do this equation, please help me. Thank you very... (answered by malakumar_kos@yahoo.com)

Hi again!  This homework assignment is a bear!

This problem has me lost:

7x - 3y =... (answered by checkley77)

Can someone please help me with the work for this problem: 6x^2-11x-10 I need to factor... (answered by checkley71)