SOLUTION: How can you write expression with rationalized denominator? Squareroot3-squareroot6. / squareroot3+square root6

Question 678278: How can you write expression with rationalized denominator?
Squareroot3-squareroot6. / squareroot3+square root6
Found 2 solutions by stanbon, pmatei:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
write expression with rationalized denominator?
Squareroot3-squareroot6. / squareroot3+square root6
-----------------------
= (sqrt(3)-sqrt(6)) / (sqrt(3)+sqrt(6))
----------------------------------------
Multiply numerator and denominator by sqrt(3)-sqrt(6)
----------------------
= [(sqrt(3)-sqrt(6))(sqrt(3)-sqrt(6))] /[3-6]
------
= [3 - 2sqrt(18) +6] / (-3)
------
= [9-6sqrt(2)] / (-3)
------
= [-3 + 2sqrt(2)]
====================
Cheers,
Stan H.
===========

Answer by pmatei(79) (Show Source): You can put this solution on YOUR website!
You take advantage of , by considering your denominator as either or and multiplying both numerator and denominator with the other paranthesis in the formula:
In your case the denominator is the , thus you multiply with :

RELATED QUESTIONS
How can you write this expression with a rationalized denominator? Please explain... (answered by MathTherapy)
Simplify 4- squareroot3/ 2-squareroot3 rationalize the denominator (answered by mathstutor494)
How can you write "the cubed root of 2/3xy" with a rationalized... (answered by lwsshak3)
Question- How can you write the expression with rationalized denominator? 2 plus... (answered by jsmallt9)
confused of what to multiply to the fraction and how to do it? square root of 3 minus... (answered by jsmallt9)
How would I reduce this algebraic expression to a single term with a rationalized... (answered by josgarithmetic)
how do you solve (5+ square root6)(5-square... (answered by Theo)
Write the standard form of the equation of the circle with the given center and radius (answered by Fombitz)
arcsine(squareroot3/2) (use radian... (answered by ikleyn)