Samacheer Kalvi · 11th TN - English Medium · Knowledge Base · Page 63table

Exercise - 2.1

Chapter 1: Chapter 2 · Knowledge Base · EN medium

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Exercise - . . Classify each element of { , − , , . , , } as a member of N , Q , R − Q or Z . . Prove that is an irrational number. (Hint: Follow the method that we have used to prove ∈ Q .) . Are there two distinct irrational numbers such that their difference is a rational number? Justify. . Find two irrational numbers such that their sum is a rational number. Can you find two irrational numbers whose product is a rational number. . Find a positive number smaller than . Justify.

📖 Namma Kalvi 11th Maths Textbook Volume 1 English Medium · Page 63

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Exercise - . . Classify each element of { , − , , . , , } as a member of N , Q , R − Q or Z .

. Prove that is an irrational number. (Hint: Follow the method that we have used to prove ∈ Q .) . Are there two distinct irrational numbers such that their difference is a rational number?

Justify. . Find two irrational numbers such that their sum is a rational number. Can you find two irrational numbers whose product is a rational number.

. Find a positive number smaller than . Justify.

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