NCERT · Class 9 · Mathematics · Number SystemsWhat is the value of $(3 + \sqrt{3})(3 - \sqrt{3})$?
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Total Attempts: 3
Accuracy Rate: 33.3%
Step-by-Step Solution
Using the algebraic identity $(a+b)(a-b) = a^2 - b^2$, we get $(3)^2 - (\sqrt{3})^2 = 9 - 3 = 6$.
Detailed Options Breakdown
Option : 6 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 2: 9
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 3: 12
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
💡 Study Guide: This question tests core syllabus concepts from Number Systems. For formulas, key summaries, and mock exam reference guides, read the full Number Systems Revision Notes.