Expert Mathematics Polynomials Class 10 Level 27

कौन सा विकल्प \(\sqrt{a^2}=a\) हमेशा सही नहीं होने का कारण बताता है?

Which option explains why \(\sqrt{a^2}=a\) is not always true?

Explanation opens after your attempt
Correct Answer

A. यदि (a<0), तो \(\sqrt{a^2}=|a|\) होता हैIf (a<0), then \(\sqrt{a^2}=|a|\)

Step 1

Concept

The principal square root is non-negative so \(\sqrt{a^2}=|a|\). In exams be careful when (a) is negative.

Step 2

Why this answer is correct

The correct answer is A. यदि (a<0), तो \(\sqrt{a^2}=|a|\) होता है / If (a<0), then \(\sqrt{a^2}=|a|\). The principal square root is non-negative so \(\sqrt{a^2}=|a|\). In exams be careful when (a) is negative.

Step 3

Exam Tip

मुख्य वर्गमूल अऋणात्मक होता है इसलिए \(\sqrt{a^2}=|a|\) है। परीक्षा में ऋणात्मक (a) के लिए सावधान रहें।

Related Mathematics Questions

FAQs

Mathematics Answer, Explanation and Revision Hints

कौन सा विकल्प \(\sqrt{a^2}=a\) हमेशा सही नहीं होने का कारण बताता है? / Which option explains why \(\sqrt{a^2}=a\) is not always true?

Correct Answer: A. यदि (a<0), तो \(\sqrt{a^2}=|a|\) होता है / If (a<0), then \(\sqrt{a^2}=|a|\). Explanation: मुख्य वर्गमूल अऋणात्मक होता है इसलिए \(\sqrt{a^2}=|a|\) है। परीक्षा में ऋणात्मक (a) के लिए सावधान रहें। / The principal square root is non-negative so \(\sqrt{a^2}=|a|\). In exams be careful when (a) is negative.

Which concept should I revise for this Mathematics MCQ?

The principal square root is non-negative so \(\sqrt{a^2}=|a|\). In exams be careful when (a) is negative.

What exam hint can help solve this Mathematics question?

मुख्य वर्गमूल अऋणात्मक होता है इसलिए \(\sqrt{a^2}=|a|\) है। परीक्षा में ऋणात्मक (a) के लिए सावधान रहें।

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