The value of (3 + √3) (3 – √3) is:
Understanding the Number System is essential for building a strong foundation in mathematics. This document provides NCERT Solutions for Class 9 Mathematics Chapter 1 Number System with MCQ-based questions from the exercise. It covers important topics like rational and irrational numbers terminating and non-terminating decimals and real numbers. These multiple-choice questions help students develop logical reasoning and problem-solving skills. Designed as per the NCERT syllabus this resource is perfect for exam preparation quick revision and self-assessment. By practicing these MCQs students can improve their accuracy boost confidence and master key mathematical concepts. Regular practice will enhance understanding making it easier to apply concepts in exams and daily problem-solving situations.
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We are given the expression: (3 + √3) (3 – √3)
Step 1: Apply the identity
This follows the difference of squares identity:
(a + b) (a – b) = a² – b²
where a = 3 and b = √3.
Step 2: Substitute and solve
(3 + √3)(3 – √3) = 3² – (√3)²
= 9 – 3
= 6
Conclusion: The correct answer is 6 (option b).
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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