The best replacement for rational is irrational numbers.

The best alternatives to rational are rated as following:
★★★★★  irrational numbers
★★★★  rationale
★★★  irrational
★★★  emotional
★★  logical
★★  empirical
★  real numbers
★  emotional motives
★  irrational number
  intuitive
  irrational roots
  emotional appeal
  emotional decision making
  mercury
  emotional appeals
  non rational
  nonrational

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Speaking about rational, one probably shouldn't forget about idealist.

Other search terms related to rational and their ratings are:
★★★★★ idealist
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rational
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