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The Brainliest Answer!

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