VEDIC MATHS-20

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VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friends,

                      This is our 20th blog from the series of "Vedic maths" blogs. Here in this blog we will learn about "Squaring Numbers"

Squaring Numbers:

Squaring can be defined as 'multiplying a number by itself'.

There are many different ways of squaring numbers. Many of these techniques have their roots in multiplication as squaring is simply a process of Multiplication.

Examples: 

  1. (3)^2 is three multiplied by 3 which equals 9
  2. (4)^2 is four multiplied by 4 which equals 16

The technique that we will study are:

  1. Squaring of numbers using Criss-Cross system.
  2. Squaring of numbers using formulae.

(A) Squaring of numbers using Criss-Cross system:

The Urdhva-Tiryak Sutra (the Criss-Cross system) is by far the most popular system of squaring numbers amongst practitioners of Vedic Mathematics. The reason for it's popularity is that it can be used for any type of numbers.

Examples:

Find the square of 23

        2 3
    ×  2 3
  ------------       

Answer:

Steps involved in multiplying 2-digit number

  • First we multiply 3 by 3 and get the answer as 9. (Answer at this stage is __9)
  • Next, we cross multiply (2*3) and add it with (2*3). The final answer is 12. We write down 2 and carry over 1. (Answer at this stage is _29)
  • Thirdly, we multiply (2*2) and add the 1 to it. The answer is 5. 
  • The final answer is 529.

Similarly, number of higher orders can be squared. Refer to the blogs on Criss-Cross system for further reference.

More examples:
  1. (26)^2=676
  2. (37)^2=1369
  3. (120)^2=14400
  4. (143)^2=20449
  5. (194)^2=37636
                Thus, we see how to Criss-Cross system of multiplication helps us get our answer in just one line! And, the astonishing fact is that this same system can be expanded to multiplication of numbers of higher digits too.
                 And in every case, we will be able to get answer in single line.         
                The simplicity of this method can be vouched from examples given above.



You may try following example:

1) (26)^2=
2) (136)^2=
3) (226)^2=

You may answer this in comment box. You may ask your any query or doubt in comment box. I will try to resolve as early as possible.

In next blog we will discuss about "Squaring of numbers using formulae".     

Are you excited for this?...
Then, please wait for it.
I will post my new blog in next week.

We will meet very soon through our next blog. Till that stay connected, stay healthy and stay safe.

Thanks

for giving your valuable time.

Good day😊.

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