English

Noun

square root (plural square roots)

1. (mathematics) A number which, when squared, yields the given number.

   Every complex number has two square roots; for example, the square roots of -4 are 2i and -2i.

2. The positive number, if such exists, which when squared yields the given number.

   The square root of -4 does not exist, but the square root of 4 is 2.

Usage Note

Even in mathematical contexts, square root generally means positive square root. If there is a chance of ambiguity, use a construction like a square root or a complex square root to indicate the strict definition, or the positive square root or similar to indicate the looser sense.

Translations

• Chinese: 平方根
• Dutch: wortel m
• Finnish: neliöjuuri
• French: racine carrée f
• Swedish: kvadratrot c

See also

• cube root
• root
• Wikipedia article on square roots