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The Brainliest Answer!
2016-04-14T22:43:20+05:30
The rule is, we *never* want a radical on the bottom. 
To get rid of this, we need to multiply top and bottom by the conjugate of the denominator. 

The conjugate of 4 + sqrt(2) is 4 - sqrt(2), and remember that multiplying (a + b) by a conjugate (a - b) will yield a difference of squares, a^2 - b^2. Therefore we will have 

6[4 - sqrt(2)] / [4^2 - [sqrt(2)]^2] 
6[4 - sqrt(2)] / [16 - 2] 
6[4 - sqrt(2)] / 14 

Simplifying by noting the 6 and 14 have a common factor of 2, 

3[4 - sqrt(2)] / 7
2 5 2