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Change log entry 81886
Processed by: richwarm (2024-02-08 05:33:37 UTC)
Comment: Dr.eye
[Mathematics] a radical; a radical expression

NA and Wiktionary: "a radical (expression)"

LA
數學上指帶有根號的數式或代數式。例如√2、x+√5等。

* * *

"square root or other irrationality"?
1) a square root is not an "irrationality" since, for example, the square root of 16 is 4.
2) π is an irrational number (an "irrationality" other than a square root), but an expression like 3π is not a 根式 (i.e. not a radical expression).

* * *

"surd (math.)"?

∛27 is a radical expression, but it isn't a surd (since it is equal to 3, a whole number), so I think 根式 includes expressions that are not surds. In that case, 根式 cannot be said to mean "surd (math.)"
Diff:
- 根式 根式 [gen1 shi4] /surd (math.)/algebraic expression involving a square root or other irrationality/
+ 根式 根式 [[gen1shi4]] /(math.) a radical; a radical expression/
By MDBG 2025
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