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 \(x_2:=- \sqrt a\).

Proofs: 1

Definitions: 1 2
Proofs: 3 4 5 6 7
Propositions: 8
Solutions: 9
Topics: 10 11


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983