SOLUTION: How do I simplify 6/(2 - sqrt2)?

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do I simplify 6/(2 - sqrt2)?      Log On


   

Question 1048920: How do I simplify 6/(2 - sqrt2)?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify 6/(2 - sqrt2)
-------
Multiply numerator and denominator by (2+sqrt(2)) to get::
--------
= 6(2+sqrt(2))/(2^2- (sqrt(2))^2)
--------
= 6(2+sqrt(2))/(4-2)
--------
= 3(2+sqrt(2))
---------
= 6 + 3sqrt(2)
=============
Cheers,
Stan H.
----------------