Question 65385
Combine:( 2√7+√2)(3√7-42√2)
F: 6*7=42
O:-84sqrt14
I: 3sqrt14
L:-42*2=-84
Combine to get: -42-81sqrt14
--------------------

5) Simplify by rationalizing the denominator: 

√6–√3
——————
√6+√3
------------
(sqrt6 - sqrt3)/(sqrt6+sqrt3)
Multiply numerator and denominator by (sqrt6-sqrt3) to get:
---------
(sqrt6-sqrt3)(sqrt6-sqrt3)/(6-3)
=[6-2sqrt18+3)/3
=[9-6sqrt2]/3
=[3-2sqrt2]
--------------
Cheers,
Stan H.