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→Two square roots for each number: allowing for both when solving
All numbers have two square roots, although they don't have to be distinct. For example, the square root of zero has two values: +0 and -0.
All numbers have two square roots, although they don't have to be distinct. For example, the square root of zero has two values: +0 and -0.
This has important implications when solving equations, in that, if the square root of both sides is taken, one must be careful to allow for both the positive and negative square root. A well known example is [[completing the square]] to solve a [[quadratic equation]].
==Irrational numbers as square roots of whole numbers==
==Irrational numbers as square roots of whole numbers==