NCERT · Class 10 · Mathematics · Real NumbersWhich of the following is a rational number?
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Step-by-Step Solution
A rational number is a number that can be expressed in the form $p/q$, where $p$ and $q$ are integers and $q \neq 0$. Among the given options, $\sqrt{9} = 3$, which can be written as $3/1$. Therefore, $\sqrt{9}$ is a rational number, while $\sqrt{2}$, $\sqrt{3}$, and $\sqrt{5}$ are irrational numbers.
Detailed Options Breakdown
Option : \sqrt{2}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: \sqrt{3}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 2: \sqrt{9} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: \sqrt{5}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.