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Today we are sharing a Vedic Method for finding the Squares of any given number. This method is called "

Today we are sharing a Vedic Method for finding the Squares of any given number. This method is called "

**" and is found in***Vedic Nikhilam Method***. In this post, we are introducing the method for finding the Squares of numbers closer to 100, 1000, 10000, etc in very speedy manner.***Atharva Veda***Method**

**(1) Find out the square of 99 or 99**

^{2 }^{Sol- }

**Step - 1: Find the Base**

- Base is a power of 10 nearest to given number. In this example,
**100**is the nearest number to 99. So we will take**100**as our base.

**Step -2 : Find the Deviation from the Base**

- Deviation from base 100-99=01

**Step -3 : Finding the Square:**We can directly write the answer in Two Parts one after another-

**Part A Part B**

**Part A**: It is a number obtained from subtracting deviation from the given number. Part A = 99-1= 98**Part B**: It is a two digit number(for base 100, 3 digit number for base 1000 and so on..) and can be obtained by squaring the deviation. So, Part B = (01)^{2}= 01

**So, (99)**

^{2 }= 9801

**2. Finding out the Square of (102)**When the number is more than base, the deviation to be added to the number to get Part A

^{2 }:**.**

**Part A : Deviation=102-100=2**

**Part B : (02)**

^{2}=04**So, (102)**

^{2}=10404Number | Base | Deviation | Part A | Part B | Answer | |
---|---|---|---|---|---|---|

c) | (94)^{2} | 100 | 100-94=6 | 94-6=88 | 6^{2}=36 | 8836 |

d) | (92) ^{2} | 100 | 100-92=8 | 92-8=84 | 8^{2}=64 | 8464 |

e) | (104)^{2} | 100 | 104-100=04 | 104+4=108 | 4^{2}=16 | 10816 |

f) | (994)^{2 } | 1000 | 1000-994=6 | 994-6=988 | 6^{2}=036 | 988036 |

g) | (992)^{2} | 1000 | 1000-992=8 | 992-8=984 | 8^{2}=064 | 984064 |

h) | (9992)^{2} | 10000 | 10000-9992=8 | 9992-8=9984 | 8^{2}=0064 | 99840064 |

i) | (1006)^{2} | 1000 | 1006-1000=6 | 1006+6=1012 | 6^{2}=036 | 1012036 |

By regular practicing this method, one can easily find out square of nearest number of 10, 100, 1000, 1000 and so on.

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