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Question Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 26

यदि \(\sqrt{2}\) और \(\sqrt{3}\) के बीच एक अपरिमेय संख्या चुननी हो, तो कौन सा विकल्प निश्चित रूप से सही है?

If an irrational number is to be chosen between \(\sqrt{2}\) and \(\sqrt{3}\), which option is definitely correct?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{\frac{5}{2}}\)

Step 1

Concept

Since \(2<\frac{5}{2}<3\), \(\sqrt{2}<\sqrt{\frac{5}{2}}<\sqrt{3}\), and it is irrational. In exams compare by squaring.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{\frac{5}{2}}\). Since \(2<\frac{5}{2}<3\), \(\sqrt{2}<\sqrt{\frac{5}{2}}<\sqrt{3}\), and it is irrational. In exams compare by squaring.

Step 3

Exam Tip

क्योंकि \(2<\frac{5}{2}<3\), इसलिए \(\sqrt{2}<\sqrt{\frac{5}{2}}<\sqrt{3}\) और यह अपरिमेय है। परीक्षा में वर्ग करके तुलना करें।

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