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[6( 2 +3√2) - 3(3+√2)] / [ (3+√2)(2+2√2) =
= [12+18√2 - 9 - 3√2 ]/ [ 6 + 6√2 + 2√2 + 4]
= [ 3 + 15√2 ] / [ 10 + 8√2 ]
= (3+15V2)(10 - 8√2) / (100 - 128)
= (30 - 24√2 +150√2 -240) / (-28)
= (126√2 - 210)/(-28)
= -9/2 √2 + 15/2
= - 1/2 (9√2 - 15)