Worked Example
Board-style short answer 5
For Class 10 Mathematics, explain or solve a the fundamental theorem of arithmetic question from the chapter "Real Numbers". Focus on board-style short answer and show the working clearly.
Step-by-step solution path
- Read the topic idea: The Fundamental Theorem of Arithmetic.
- Recall the core explanation from the chapter: Class 10 NCERT chapter on Euclid’s division lemma, prime factorisation, irrational numbers and decimal expansions.
- Use the related formula "HCF-LCM Relationship" as the main tool while solving.
- Write the reasoning in simple school-level language before the final answer.
Final learning answer
This example is centred on The Fundamental Theorem of Arithmetic. A strong solution should identify the correct data, apply HCF-LCM Relationship, and explain each transition instead of jumping directly to the answer.
Related formula
HCF-LCM Relationship
HCF(a, b) × LCM(a, b) = a × b