1

I don't think the phrase is formal and academic enough, but I can't think of a word to replace it.

I want to say something like this: The two frogs both agreed that they needed to fight, but their fighting strategies "couldn't have been more different."

2

There are a number of modifiers to "different" which will work:

  • completely different
  • entirely different

etc.

Depending on the sense, you could go for opposite.

Another single word is diametric, one sense of which is completely opposed. Or, in that same vein, maybe antithetical, which is being in direct and unequivocal opposition.

  • 1
    I was thinking diametrically opposed — so, is that redundant? – Scott Apr 14 '16 at 7:19
  • @Scott On reflection, I don't think "diametric" necessary has the sense of opposition without context, and so if that context isn't otherwise there, using "diametrically opposed" makes sense. It might be a little redundant, but it's certainly a very common phrase. – mattdm Apr 14 '16 at 11:57
2

Disparate

markedly distinct in quality or character

Merriam-Webster

(Similar to incongruous as aforementioned.)

2

Or perhaps similar phrases:

Or for that matter, antipodean \ antipodal?

1

Consider incongruous.

: strange because of not agreeing with what is usual or expected
Merriam-Webster

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