NCERT Class 8 Maths Ch-1 | Find the length of the side of a square whose area is 441 m²

🎓 Can't figure out how to find the side of a square when only the area is given? This video solves the NCERT Class 8 Maths Chapter 1 question step by step using the prime factorisation method — making it super easy to understand and remember!

Q: Find the length of the side of a square whose area is 441 m².

📌 WHAT YOU'LL LEARN
• How to find the side length of a square from its area
• The relationship between area and side: Area = side²
• Prime factorisation method to calculate square roots
• Step-by-step factorisation of 441 into prime factors
• How to identify a perfect square using prime factorisation
• Grouping prime factors in pairs to find the square root
• The formula: side = √Area applied to real problems
• Verification technique: squaring your answer to check

🎯 KEY CONCEPTS COVERED
• Area of a square formula (side × side)
• Square root definition and meaning
• Prime factorisation technique for square roots
• Finding √441 using prime factorisation
• Perfect square identification through factor pairing
• Converting prime factorisation to square root result
• Application of square roots in geometry
• NCERT Figure it Out (Section 1) problem solving

💡 PERFECT FOR
• CBSE Class 8 students studying Mathematics
• Students preparing for unit tests and half-yearly exams
• Anyone learning squares and square roots for the first time
• Learners who want step-by-step NCERT solutions with explanation
• Students who find prime factorisation confusing or difficult

🎨 VISUAL LEARNING
Watch as we break down 441 into its prime factors using animated factorisation trees and clear step-by-step visuals. See how pairing the prime factors (3² × 7²) leads directly to the answer 21, making the concept stick forever!

⚠️ COMMON MISTAKES TO AVOID
• Forgetting that Area = side² (not side × 4, which is perimeter)
• Making calculation errors in prime factorisation steps
• Not pairing prime factors correctly before finding the root
• Confusing perimeter formula with area formula
• Forgetting to include units (m) in the final answer
• Skipping the verification step (always check 21 × 21 = 441)

📚 THE CONCEPT BREAKDOWN
1. Identify what is given: Area of square = 441 m²
2. Recall the formula: Area = side²
3. Rearrange to find side: side = √Area = √441
4. Prime factorise 441: 441 = 3 × 3 × 7 × 7
5. Group in pairs: 441 = (3 × 7)² = 21²
6. Take square root: side = √441 = 21 m

🌟 WHY THIS VIDEO IS DIFFERENT
Unlike other videos that just give you the answer, we break down every single step of the prime factorisation so you can apply this method to ANY square root problem with complete confidence and accuracy!

👨‍🏫 ABOUT APARSOFT
Aparsoft is an Indian EdTech company dedicated to making learning visual, engaging, and accessible for every student. Our animated explanations transform complex NCERT concepts into simple, memorable lessons. Visit https://aparacademy.com for more resources!

💬 COMMENT BELOW
• Did you try solving this before watching the video?
• Which method do you prefer for finding square roots?
• What other NCERT questions should we solve next?
• Have you made any of the common mistakes listed above?

📌 STUDY TIPS
1. Always write the formula first before starting calculations
2. Practice prime factorisation with different numbers daily
3. Verify your answer by squaring it back (21 × 21 = 441 ✓)
4. Draw the square and label it to visualise the problem
5. Make a cheat sheet of perfect squares up to 30²

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Видео NCERT Class 8 Maths Ch-1 | Find the length of the side of a square whose area is 441 m² канала Apar Academy