Скачать или смотреть How to Find Square Root | Prime Factorization & Long Division

Learn the complete concept of Square and Square Root in an easy and fun way!
In this video, we will:
✅ Understand what squares and square roots are.
✅ Learn Prime Factorization Method to find the square root of perfect squares.
✅ Learn Long Division Method to find the square root of large numbers and decimals.
✅ Practice with solved examples.

Prime Factorization Method:

1. Write the number as a product of prime numbers.


2. Group the prime factors into pairs of the same number.


3. Take one number from each pair and multiply them to get the square root.



Example:
√144 = 2 × 2 × 2 × 2 × 3 × 3
= (2 × 2) × (2 × 2) × (3 × 3)
Take one from each pair → 2 × 2 × 3 = 12

Long Division Method:

1. Group the digits of the number in pairs starting from the unit place.


2. Find the largest number whose square is less than or equal to the first group.


3. Subtract, bring down the next pair, and double the quotient.


4. Repeat until you find the complete square root.



Example:
√2025 → using long division method = 45

By the end of this video, you’ll be confident in solving square root problems for your exams and real-life applications.

1. Square & Square Root | Easy Math Tricks for Students


2. Learn Square Root with Prime Factorization & Long Division Method


3. Square Root Made Easy | Step-by-Step Methods with Examples


4. Math Basics: Square and Square Root Explained Simply


5. How to Find Square Root | Prime Factorization & Long Division


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