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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 $x_2:=- \sqrt a$.

Table of Contents

Proofs: 1

Mentioned in:

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