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Proof by Contradiction

Surds are the...

Question

Surds are the___ roots of any equation with _ coefficients.

A

Irrational, Rational

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B

Irrational, Irrational

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C

Rational, Irrational

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D

Rational, Rational

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Solution

The correct option is A
Irrational, Rational

$\sqrt{2}$ is a Surd, Since it is a root of the equation $x^{2} - 2 = 0$ with real coefficients.

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