"Class 10 Maths – Chapter 1: Real Numbers (प्रश्नावली 1.3)"

Описание: Class 10 Maths – Chapter 1: Real Numbers
Prashnawali (Exercise) 1.3

Prashnawali 1.3 of Class 10 Maths focuses on the concept of irrational numbers and proofs related to their irrationality. This exercise includes questions that require students to prove whether certain numbers, such as √2, √3, √5, etc., are irrational using a logical and structured method.

The main idea in this exercise is to apply the contradiction method to prove irrationality. According to this method, students assume that a given number is rational and express it in the form p/q, where p and q are integers with no common factors and q ≠ 0. They then show that this leads to a contradiction, hence proving the number is irrational.

This exercise helps strengthen the understanding of:

Properties of rational and irrational numbers

Proof by contradiction

Fundamental Theorem of Arithmetic (used indirectly in some proofs)


Importance of Prashnawali 1.3: It builds a strong foundation in logical reasoning and proof writing, which are essential for higher-level mathematics.


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