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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]

1.Proof: (related to "Square Roots")

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Bibliography (further reading)

[581] Forster Otto: “Analysis 1, Differential- und Integralrechnung einer Veränderlichen”, Vieweg Studium, 1983