Squaring Techniques
Instantly square numbers ending in 5 or near 50.
Core Concepts
Squaring numbers (multiplying a number by itself) is super fast with Vedic Math, especially for numbers ending in 5 or numbers near 50.
Rule 1: Numbers Ending in 5
To square a number ending in 5 (e.g., 35²):
1. First Part: Multiply the first digit by the next number (e.g., 3 × 4).
2. Second Part: Always write 25 at the end.
Rule 2: Numbers Near 50
To square a number near 50 (e.g., 54²):
1. First Part: Add the excess to 25 (e.g., 25 + 4 = 29).
2. Second Part: Square the excess (e.g., 4² = 16).
Solved Examples
Example 1: Squaring 35
Question: Solve 35².
• Step 1: First digit is 3. Next number is 4.
• Multiply: 3 × 4 = 12.
• Step 2: End with 25.
• Answer: 1225.
Example 2: Squaring 75
Question: Solve 75².
• Step 1: First digit is 7. Next number is 8.
• Multiply: 7 × 8 = 56.
• Step 2: End with 25.
• Answer: 5625.
Example 3: Squaring 54 (Near 50)
Question: Solve 54².
• Excess: 54 is +4 more than 50.
• Step 1: Add excess to 25. 25 + 4 = 29.
• Step 2: Square the excess. 4² = 16.
• Answer: 2916.
Example 4: Squaring 46 (Near 50)
Question: Solve 46².
• Deficiency: 46 is -4 less than 50.
• Step 1: Subtract from 25. 25 - 4 = 21.
• Step 2: Square the difference. 4² = 16.
• Answer: 2116.
