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Real Numbers
NCERT Exemplar
CBSE
Grade 10
Question:
Which of the following is an irrational number? (a) $\sqrt{4}$ (b) $\sqrt{9/16}$ (c) $\sqrt{7}$ (d) $0.375$
Step-by-Step Solution
Key Concept: Square root of a non-square prime number is always irrational.
$\sqrt{4}=2$ (rational), $\sqrt{9/16}=3/4$ (rational), $0.375=3/8$ (rational). [0.5 Mark] $\sqrt{7}$ cannot be written as $p/q$ where $p, q \in \mathbb{Z}$, hence it is irrational. [0.5 Mark]
--- 🎯 Official CBSE Marking Scheme: Correct evaluation of rational options: 0.5 Mark Correct selection: 0.5 Mark
Correct Answer:$\sqrt{7}$
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