the method used for proving irrational is_________
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Construct three circles of 2 cm radius such that two of them intersect each other at a common point
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Name these circles and draw lines joining their centres such that each line joins the centres of two circles.
Which figure do you get on joining the line segments?
What is the distance between the centres of the circles?
Is this distance same in all the cases?
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Answer:
Method of Contradiction
Explanation: For any rational number there exists an irreducible form. The point of the proof is that if sqrt(2) were rational, a contradiction would occur, which then proves that sqrt(2) is irrational and our assumption is false. This type of proof is called proof by contradiction, or indirect proof.
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