Mistake in Rationalising Denominator that I can't figure out!

Problem is


$\frac{3\sqrt 6 - 7\sqrt 2}{5\sqrt 6 + 2\sqrt 2}$


After applying difference of squares numerator is


$90-6\sqrt 12 - 35\sqrt 12 + 28$




Then




$90-12\sqrt 3 - 70\sqrt 3 + 28$




Ultimately ending up with




$\frac{59- 29\sqrt 3}{71}$












Solution is apparently








$\frac{59 - 41\sqrt 3}{71}$




The difference is that solution carries out $6\sqrt 12 - 35 \sqrt 12$ to get $-41\sqrt 12$ before simplifying to square roots of 3.












I don't understand how what I've done is wrong, can someone explain?




Thanks