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## Proposition: Square Roots

Let $$a > 0$$ be a positive real number. The equation
$x^2=a$
has two real solutions $$x_1,x_2\in\mathbb R$$, called the square roots of the number $$a$$ and denoted by $$x_1:=\sqrt a$$ and $$x_2:=- \sqrt a$$.

| | | | | created: 2015-03-04 19:34:47 | modified: 2020-07-10 19:54:51 | by: bookofproofs | references: [581]