Squares in Vedic Mathematics

Tirthaji Maharaj has mentioned tricks to Square Numbers in Vedic Mathematics in Specific and General Methods. Specific Multiplication Methods can be applied when numbers satisfy certain conditions like number ending with 5 or number closer to power of 10, etc. While General Multiplication Methods can be applied to any type of number.

Depending on Specific and General Techniques, Squares in Vedic Mathematics are classified in the form of Sutras as below. Lets see the  Vedic Mathematics Squares shortcut techniques.

Calculating Vedic Math Square Tricks can be classified in following types:

1. Yavadunam (Specific Method)
2. Ekadhikena Purvena (Specific Method)
3. DvandaYoga (General Method)

Yavadunam:

It is a specific and shorcut to square numbers using Vedic Mathematics whenever number is closer to power of 10. (10, 100, 1000, ….)

Lets see examples for  vedic maths square method of Yavadunam:

Square of 14:

14² = (14+4)/4² = 18/16  = 196

Here 14 is 4 more than 10(Base 10), So Excess = 4
Increase it still further to that extent, So (14+4) = 18
Square its excessive, So 4²= 16
Final Answer: 196

Square of 97:

97² = (97-3)/3² = 94/09  = 9409

Here 97 is 3 less than 100(Base 100), So deficiency =3
Reduce it still further to that extent, So (97-3) = 94.
Square its deficiency, So 3² = 09. (As base is 100, we need exactly 2 digits. Hence 09).
Final Answer: 9409

Click Here => To Check More examples on Squares Tricks using Yavadunam Sutra

Ekadhikena Purvena:

This is another specific vedic maths tricks for square of a number ending with 5.

Lets see examples for vedic squares tricks using Ekadhikena Purvena.

1. Check if last digit is 5, if yes – square of 5 is 25
2. Apply Ekadhikena Purvena for rest of the number i.e. Add 1 to the previous number and multiply each other. Example in case of square of 85, Add 1 to 8 to get 9 and multiply this with 8.
3. Steps 1 and 2 together gives final answer.

Check More Information on Ekadhikena Purvena

DvandaYoga (Duplex Method):

Dvanda Yoga is general method to square any number in vedic maths. Dvanda Yoga or Duplex Method is shortcut method for squares of large numbers.

How to calculate Dvanda

Concept:

D(3) = 3² = 9
D(43) = 2x4x3 = 24
D(567) = 2x5x7 + 6² = 70 + 36 = 106
D(3456) = 2x3x6 + 2x4x5 = 36 + 40 = 76
D(34567) = 2x3x7 + 2x4x6 + 5² = 42 + 48 + 25 = 115

Example:

Click Here => To check more examples on Dvanda Yoga

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