Rationalize the denominators problem

[Gughanath]

Could some one please express:

[2 (square root of 2)/[(square root of 3)-1] - [2(square root of 3)]/[(square root of 2)+1] in a simpler form. I am sorry if the expression looks completed, i didnt know how to write them properly on the forum, its bascailly a fraction (LHS) - another fraction (RHS). Please help

 

[OlderDan]

Could some one please express:

[2 (square root of 2)/[(square root of 3)-1] - [2(square root of 3)]/[(square root of 2)+1] in a simpler form. I am sorry if the expression looks completed, i didnt know how to write them properly on the forum, its bascailly a fraction (LHS) - another fraction (RHS). Please help

The usual thing is to rationalize the denominators, then find common denominators, then combine terms. To rationalize, you have to multiply numerator and denominator of each fraction by the conjugate of the denominator.

 

[whozum]

$$\frac{2\sqrt{2}}{\sqrt{3} -1} - \frac{2\sqrt{3}}{\sqrt{2}+1}$$

I would factor out a 2 and find a lowest common denominator, then go from there.

 

[Gughanath]

errmm...just before I continue...could you explain how you wrote that expression?

 

[whozum]

Click it, and on the bottom you should see Latex code reference.