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Hello Eci831,

In** my** **previous blog** post we learned how to square any number using **Vedic math**, I hope you found the technic interesting and easy. In this post we will learn how to find a square root of a number. Finding the square root of a number is the **inverse operation **of squaring that number. Remember, the square of a number is that number times itself.

For Example: Square of n=n^{2}, so square of 10= 10×10= 10^{2}= 100.

**Finding square root by Vedic methods:**

The square root of any number means getting a number multiplying by itself gives the given number in the regular method. To find the square root, the divisor continues always bigger at each step. This increases the calculation time as well as the complexity of the problem. Now we shall see the quick trick of Vedic math to find the square root of perfect square, before going ahead to find the square root look at the image below

** Steps to find Square root of 3, 4, & 5 digits’ number.**

**1) Finding Square root of 3 digit **

Consider a number

** ** **√729**

1)Splits the number keeping last 2 digits aside i.e.

**7** **ǀ** 2**9**

2) Check the square digit of number **9** & its unit Square digit is 3& 7

3) Next check Square** 7** it lies between 2 & 3 Square (2^{2}=4,3^{2}=9)

4)Choose the smaller number i.e.2

5)Now there is two possibilities for answer i.e.** 23** or **27**.

6) The smaller number is 2, consider the next number of 2 is 3 multiply those two number 2×3=6 ,6 is smaller as we compare to given digit i.e. 7 (6˂ 7).

7)We have to consider the greater number i.e.**27 **so the final answer will be **27**.

** √729=27**

**2 )Finding Square root of 4-digit number**

Consider the number

** √****1024**

1)Splits the number keeping last 2 digits aside i.e.

**10** **ǀ** 2**4**

2) Check the square digit of number **4** & its unit Square digit is 2& 8

3) Next check Square **10** it lies between 3 & 4 Square (3^{2}=9,4^{2}=16)

4) Choose the smaller number i.e.3

5) Now there is two possibilities for answer i.e. **32** or **38**

6) The smaller number is 3, consider the next number of 3 is 4 multiply these twos’

number 3×4=12 ,12 is greater as we compare to given digit i.e.10 (12> 7)

7) We have to consider the smaller number i.e.**32 **so the final answer will be **32**.

** √****1024=32**

**3) Finding square of 5-digit number **

** √****76176**

1) Splits the number keeping last 2 digits aside i.e.

** 7 61** ǀ 7**6**

2) Check the square digit of number **6** & its unit Square digit is 4& 6

3) Next check Square** 716** it lies between 27&28 Square (27^{2}=729,28^{2}=784)

4) Choose the smaller number i.e.27

5) Now there is two possibilities for answer i.e. **274** or** 276**.

6) The smaller number is 27, consider the next number of 27 is 28, multiply those

two number 27×28=756, is smaller as we compare to given digit i.e.761 (756˂ 761).

7) We have to consider the greater number i.e.**276** so the final answer will be **276**

** √****76176=276**

In the video below ,I have solved few more problems based on Vedic method which will help in understanding the technic, , and article by** TEXTBOOK** will further aid the process .

Thank you for your time.