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Question Easy Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 15

कौन-सी संख्या (6) और (7) के बीच स्थित अपरिमेय संख्या है?

Which number is an irrational number between (6) and (7)?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{45}\)

Step 1

Concept

Since (36<45<49), \(6<\sqrt{45}<7\).

Step 2

Why this answer is correct

(45) is not a perfect square, so \(\sqrt{45}\) is irrational.

Step 3

Exam Tip

In interval questions, use nearby perfect squares. चरण 1: (36<45<49), इसलिए \(6<\sqrt{45}<7\)। चरण 2: (45) पूर्ण वर्ग नहीं है, इसलिए \(\sqrt{45}\) अपरिमेय है। चरण 3: अंतराल वाले प्रश्नों में पास के पूर्ण वर्गों का उपयोग करें।

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