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Numbers and Algebraic Structures · Term 1

Proving Irrationality: √2, √3, √5

Students will learn and apply the proof by contradiction to demonstrate the irrationality of numbers like √2.

Key Questions

  1. Analyze the logical steps involved in proving the irrationality of √2 by contradiction.
  2. Construct a similar proof for the irrationality of √3, identifying key differences.
  3. Evaluate the significance of irrational numbers in extending the number line beyond rational points.

CBSE Learning Outcomes

NCERT: Real Numbers - Class 10
Class: Class 10
Subject: Mathematics
Unit: Numbers and Algebraic Structures
Period: Term 1

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