“Square Root by Prime Factorization Method | Find √144 & √400 | Class 6–8 Maths Tutorial in Hinglish

Learn how to find Square Roots using the Prime Factorization Method — step by step in Hinglish!
In this video, you’ll understand the logic and process of finding square roots through prime factors — an easy and accurate method for perfect squares like √144 and √400.

Perfect for Class 6, 7, and 8 students who want to learn square roots without confusion.

📘 What You’ll Learn in This Video:

✔ What is a Square Root
✔ Step-by-step Prime Factorization Method
✔ How to find √144 and √400 easily
✔ Rule of pairing identical factors
✔ Difference between perfect and non-perfect squares
✔ Quick tip to simplify roots in seconds

🧮 Examples Covered in Video:

Example 1:
Find √144
👉 144 = 2 × 2 × 2 × 2 × 3 × 3
👉 Pair the same factors → (2×2), (2×2), (3×3)
👉 √144 = 2 × 2 × 3 = 12

Example 2:
Find √400
👉 400 = 2 × 2 × 2 × 2 × 5 × 5
👉 Pair the same factors → (2×2), (2×2), (5×5)
👉 √400 = 2 × 2 × 5 = 20

✅ So √144 = 12 and √400 = 20

Formula Recap:

If a number = product of prime factors,
then √(a×b×c×...) = product of one number from each identical pair.

Example:
√(2×2×3×3) = 2×3 = 6

tips
✅ Works only for perfect squares
✅ Always make pairs of same prime numbers
✅ If any number is left unpaired, it means the number is not a perfect square

   • Square Root by Repeated Subtraction Method...  

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