Question 798133
Multiply top and bottom by {{{3-sqrt(2)}}} (this is the conjugate of the denominator) to get...


{{{8/(3+sqrt(2))}}}


{{{(8(3-sqrt(2)))/((3+sqrt(2))(3-sqrt(2)))}}}


{{{(8(3-sqrt(2)))/((3)^2-(sqrt(2))^2)}}}


{{{(8(3-sqrt(2)))/(9-2)}}}


{{{(8(3-sqrt(2)))/(7)}}}


{{{(24-8*sqrt(2))/7}}}




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Final Answer:


{{{(24-8*sqrt(2))/7}}}