SOLUTION: Rationalize the denominator or simplify {{{(1-sqrt(2))/(2sqrt(3)-sqrt(6))}}}

Algebra.Com
Question 53617: Rationalize the denominator or simplify
Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
I gave your probelm directions and changed your expression a little to be what I see most often. If I guessed wrong,ley me know.
You need to multiply the denominator by its conjugate, so that it becomes the difference between two squares (a+b)(a-b)=a^2-b^2. What ever you multiply by the denominator also has to be multiplied by the numerator.


You have to foil here:


12=4*3

The square root of 4 is 2.


Happy calculating!

RELATED QUESTIONS

24.) Rationalize the denominator and simplify. sqrt 6 /( 4 sqrt 3 + sqrt 2) (answered by edjones)
Simplify each expression by rationalizing the denominator. 3/sqrt(7) 2sqrt(2)/sqrt(5)... (answered by MathLover1)
24.) Rationalize the denominator and simplify. Sqrt (6)/4sqrt (3+sqrt (2) (answered by stanbon)
Simplify if necessary. Then rationalize the denominator.... (answered by Finavon)
Simplify (Rationalize The Denominator) a)(1)/(\sqrt(5))... (answered by Boreal)
divide, rationalize the denominator then simplify 6 - sqrt 20 /... (answered by checkley71)
Rationalize the denominator... (answered by solver91311)
Rationalize the denominator.... (answered by nshah11)
Rationalize the denominator and simplify.... (answered by ewatrrr)