IMO the answer is

Stem : a and b and integers and their product is 2. Possible values of a,b = (2,1) or (1,2) or (-2,-1) or (-1, -2)

Needed: Is a > b?

I found it easier to keep track of the possibilities by using a table and Working through S1, S2 and S1+S2. Table is attached.

From the Table we can see

S1 : a and b could be (2,1) or (-2,-1). So a > b or a < b. Insuff

S2: \(a^2 > b^2 => a^2-b^2 > 0\).

a and b could be (2,1) or (-2,-1). So a > b or a < b. Insuff

S1+S2: a and b could still be (2,1) or (-2,-1). So a > b or a < b. Insuff

Even with both statements its not suff.

I hope I am correct

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