Medium Mathematics Polynomials Class 10 Level 26

यदि \(\sqrt{k}\) अपरिमेय है और (k) धनात्मक पूर्णांक है तो (k) के बारे में सही कथन क्या है?

If \(\sqrt{k}\) is irrational and (k) is a positive integer, what is correct about (k)?

Explanation opens after your attempt
Correct Answer

A. (k) पूर्ण वर्ग नहीं है(k) is not a perfect square

Step 1

Concept

If a positive integer is not a perfect square its square root is irrational. So (k) is not a perfect square.

Step 2

Why this answer is correct

The correct answer is A. (k) पूर्ण वर्ग नहीं है / (k) is not a perfect square. If a positive integer is not a perfect square its square root is irrational. So (k) is not a perfect square.

Step 3

Exam Tip

धनात्मक पूर्णांक पूर्ण वर्ग न हो तो उसकी वर्गमूल अपरिमेय होती है। इसलिए (k) पूर्ण वर्ग नहीं होगा।

Related Mathematics Questions

FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(\sqrt{k}\) अपरिमेय है और (k) धनात्मक पूर्णांक है तो (k) के बारे में सही कथन क्या है? / If \(\sqrt{k}\) is irrational and (k) is a positive integer, what is correct about (k)?

Correct Answer: A. (k) पूर्ण वर्ग नहीं है / (k) is not a perfect square. Explanation: धनात्मक पूर्णांक पूर्ण वर्ग न हो तो उसकी वर्गमूल अपरिमेय होती है। इसलिए (k) पूर्ण वर्ग नहीं होगा। / If a positive integer is not a perfect square its square root is irrational. So (k) is not a perfect square.

Which concept should I revise for this Mathematics MCQ?

If a positive integer is not a perfect square its square root is irrational. So (k) is not a perfect square.

What exam hint can help solve this Mathematics question?

धनात्मक पूर्णांक पूर्ण वर्ग न हो तो उसकी वर्गमूल अपरिमेय होती है। इसलिए (k) पूर्ण वर्ग नहीं होगा।

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