# iracionāls

## Latvian

### Etymology

Via some other European language, ultimately from Latin irratiōnālis, from ir- + ratiōnālis.

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

1. irrational (not understandable by the mind, not rational, not reasonable)
iracionāls sapnisirrational dream
iracionāla kaislībairrational passion
iracionāls lēmumsirrational decision
2. (mathematics) irrational (not reducible to a fraction, and integer, or zero)
iracionāls skaitlisirrational number
3. (mathematics) radical (involving mathematical roots)
izteiksmes, kas satur saknes (daļveida kāpinātājus) sauc par iracionālām izteiksmēmexpressions that contain roots (fractional exponents) are called radical expressions
vienādojumu, kas satur sakni (radikāli) ar mainīgo zem tās, sauc par iracionālu vienādojumuan equation that contains a root (a radical) with a variable underneath it is called a radical equation

#### Usage notes

Although iracionāls is the main adjective applied to concepts relating to roots, its antonym racionāls is directly used in this context as well, this is because racionāls (syn. daļveida) is the Latvian term for fractional when talking about exponents and a number raised to a fractional power (racionāls kāpinātājs) is just a different notation to represent a root.

### References

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