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:
- Yavadunam (Specific Method)
- Ekadhikena Purvena (Specific Method)
- DvandaYoga (General Method)
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
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.
- Check if last digit is 5, if yes – square of 5 is 25
- 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.
- 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
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
Click Here => To check more examples on Dvanda Yoga
i want a complete book of vedic mathematics. plz tell me.
Rahul Bhangale says
You can refer Vedic Mathematics by Tirthaji Maharaj