1st, lets get those radicals into a more normal looking number:
4^2=16
16*2=32
so 4(sqrt of 2) = sqrt 32=5.66
same with the next one
4^2=16, 16*3= 48, so that = sqrt of 48 =6.93
according to Pythagorean's theorem (a^2+b^2=c^2), it can't be a right triangle, so if c^2>a^2 + b^2, then it is obtuse, and less then for acute.
Since c is the longest side, 5.66+4>6.93, so I think it's acute.
