NCERT · Class 9 · Mathematics · Number SystemsWhich of the following is an irrational number?
📊Student Analytics & Stats
Total Attempts: 3
Accuracy Rate: 100%
Step-by-Step Solution
An irrational number cannot be expressed as a simple fraction. $\sqrt{23}$ cannot be simplified to a rational number since 23 is a prime number, making its square root irrational.
Detailed Options Breakdown
Option : \sqrt{4}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 1: \sqrt{9}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 2: \sqrt{23} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: \sqrt{225}
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.