Expert Mathematics Chapter 1: Real Numbers Class 10 Level 8

अंतिम अभाज्य गुणनखंडन में संयुक्त आधार बच जाने पर उत्तर अधूरा क्यों माना जाता है?

Why is the answer considered incomplete if a composite base remains in final prime factorisation?

Explanation opens after your attempt
Correct Answer

A. क्योंकि अंतिम रूप में केवल अभाज्य आधार रहने चाहिएBecause only prime bases should remain in the final form

Step 1

Concept

The aim of prime factorisation is to write the number using prime bases only.

Step 2

Why this answer is correct

If a base like (45) or (121) remains, it is composite and must be broken further.

Step 3

Exam Tip

Before writing the final answer, check whether every base is prime. चरण 1: अभाज्य गुणनखंडन का उद्देश्य संख्या को केवल अभाज्य आधारों में लिखना है। चरण 2: यदि (45) या (121) जैसा आधार बचा है, तो वह संयुक्त है और आगे टूटेगा। चरण 3: अंतिम उत्तर लिखने से पहले हर आधार की अभाज्यता जांचें।

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The correct answer is A. क्योंकि अंतिम रूप में केवल अभाज्य आधार रहने चाहिए / Because only prime bases should remain in the final form.

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