So far we have seen History of Vedic Maths Multiplication Squares Division Cube Root Square Root Astronomical multiplication Magical Squares.

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Presentation transcript:

So far we have seen History of Vedic Maths Multiplication Squares Division Cube Root Square Root Astronomical multiplication Magical Squares

 New Square Root  Cube  Pythogoras Triads  Friendly Numbers  Palindromes  Exciting Arrangement

* * Let us take numbers 625 and 1024 and find square root Step1: Nearest square root of 6 = 2 Step 2: = 2 Step 3 : Obtain 4 as shown in figure Step 4 : 22/4 = 5 & R= 2 Step 5 : 25/5 => R=0 Try yourself for 1024

General formula: (10+x) 3 = (10+3x) / 3x 2 / x 3 Example: 12 3 = (10+2) = 16/ 1 2/8 => = (1000-2) 3 = 994 / 012 / 008 =>

How many Pythogoras Triads like 3,4,5 you know? Now I will give you a general formula to find triads. General formula: (axa - bxb)(axa - bxb) + 2abx2ab = (axa + bxb)(axa + bxb) (2x2-1x1)(2x2-1x1)+(2x2x1)(2x2x1)=(2x2+1x1)(2x2+1x1)i.e.; 3x3+4x4=5x5 (3x3-2x2)(3x3-2x2)+(2x3x2)(2x3x2)=(3x3+2x2)(3x3+2x2) i.e.; 5x5+12x12=13x13 Thus by putting any value to a and b in the above formula you can get the triads.

It is said that when Pythagoras was asked to describe the characteristics of a friend, he replied, 'he is the other I, like 220 and 284. Proper divisors of 220 are 1,2,4,5,10,11, 20,22,44,55 and 110. These add up to 284. Similarly the proper divisors of 284, which are 1,2,4,71, and 142 add up to 220. Thus each is the sum of the proper divisors of the other. Note : Other friendly numbers known are & ,363,584 & 9,437, & 1210

How to obtain a palindrome in number by doing arithmetic operation? Here is an example of getting palindrome which is a palindrome. Note : 3821 when reversed 1283 & 5104 when reversed 4015.

= = = = = = = = 77777

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