Show that -2 is not a rational number By method of contradiction-

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Decimal Expansion of Rational and Irrational Numbers

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Question

Show that $\sqrt{2}$ is not a rational number (By method of contradiction).

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By using the method of contradiction, prove that the sum of an irrational number and a rational number is irrational.

Check the validity of the statements given below by the method given against it

(i) p : The sum of an irrational number and a rational number is irrational (by contradiction method)

(ii) q : If n is a real number with n > 3, then $n^{2} > 9$ (by contradiction method)

Check the validity of the statements given below by the method given against it.

(i) p: The sum of an irrational number and a rational number is irrational (by contradiction method).

(ii) q: If n is a real number with n > 3, then n² > 9 (by contradiction method).

\sqrt{3}

Prove that √2. is an irrational number by contradiction method

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