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Question Hard Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 14

यदि (a) अपरिमेय है और (b) अपरिमेय है, तो कौन-सा निष्कर्ष हमेशा सही नहीं है?

If (a) is irrational and (b) is irrational, which conclusion is not always correct?

Explanation opens after your attempt
Correct Answer

A. (a+b) अपरिमेय है(a+b) is irrational

Step 1

Concept

The sum of two irrational numbers can be rational.

Step 2

Why this answer is correct

For example, (\sqrt{2}+\(-\sqrt{2}\)=0). Therefore, saying (a+b) is always irrational is false.

Step 3

Exam Tip

Be careful with universal statements about two irrational numbers. चरण 1: दो अपरिमेय संख्याओं का योग कभी परिमेय भी हो सकता है। चरण 2: उदाहरण (\sqrt{2}+\(-\sqrt{2}\)=0) है। इसलिए (a+b) हमेशा अपरिमेय कहना गलत है। चरण 3: दो अपरिमेय संख्याओं पर हमेशा वाले नियम बहुत सावधानी से लगाएँ।

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