Via some other European language, ultimately fromLatinirratiōnālis, fromir- +ratiōnālis.

The sense "radical; involving mathematical roots" is perhaps related to the fact that the square roots of most integers are irrational.

iracionāls (definiteiracionālais,comparativeiracionālāks,superlativevisiracionālākais,adverbiracionāli)

1. irrational(notunderstandable by themind, notrational, notreasonable)

   iracionāls sapnis ―irrational dream

   iracionāla kaislība ―irrational passion

   iracionāls lēmums ―irrational decision

2. (mathematics)irrational(notreducible to afraction, andinteger, orzero)

   iracionāls skaitlis ―irrational number

3. (mathematics)radical(involving mathematical roots)

   izteiksmes, kas satur saknes (daļveida kāpinātājus) sauc pariracionālām izteiksmēm ―expressions that contain roots (fractional exponents) are calledradical expressions

   vienādojumu, kas satur sakni (radikāli) ar mainīgo zem tās, sauc pariracionālu vienādojumu ―an equation that contains a root (a radical) with a variable underneath it is called aradical equation

Althoughiracionāls is the main adjective applied to concepts relating to roots, its antonymracionāls is directly used in this context as well, this is becauseracionāls (syn.daļveida) is the Latvian term forfractional when talking about exponents and a number raised to a fractional power (racionālskāpinātājs) is just a different notation to represent a root.

• racionāls

• Vitanda Sakse (1998)Algebra 10.-12. klasei, Rīga: Pētergailis,→ISBN, pages 34, 70

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