Medium Mathematics Chapter 1: Real Numbers Class 10 Level 13

यदि \(\sqrt{n}\) (4) और (5) के बीच है, तो (n) के लिए कौन-सा मान संभव है और \(\sqrt{n}\) अपरिमेय है?

If \(\sqrt{n}\) lies between (4) and (5), which value of (n) is possible and makes \(\sqrt{n}\) irrational?

Explanation opens after your attempt
Correct Answer

B. (20)

Step 1

Concept

\(4<\sqrt{n}<5\) means (16<n<25).

Step 2

Why this answer is correct

(20) lies in this interval and is not a perfect square, so \(\sqrt{20}\) is irrational.

Step 3

Exam Tip

In square-root inequalities, square the bounds to form the interval. चरण 1: \(4<\sqrt{n}<5\) का अर्थ है (16<n<25)। चरण 2: (20) इस अंतराल में है और पूर्ण वर्ग नहीं है, इसलिए \(\sqrt{20}\) अपरिमेय है। चरण 3: वर्गमूल की असमानता में दोनों तरफ वर्ग लेकर अंतराल बनाएं।

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