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Vedic Maths

Vedic Maths. So far we have seen History of Vedic Maths Multiplication Squares Division Cube Root Square Root Astronomical multiplication Magical Squares. L.Hariharan. For This Presentation. New Square Root Cube Pythogoras Triads Friendly Numbers Palindromes

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Vedic Maths

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

  2. For This Presentation • NewSquare Root • Cube • Pythogoras Triads • Friendly Numbers • Palindromes • Exciting Arrangement

  3. Square Root Let us take numbers 625 and 1024 and find square root 4 6 22 25 *2 25 0 6 10 12 04 *2 3 2 0 Step1: Nearest square root of 6 =2 Step 2: 6 - 22 = 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

  4. Cube General formula: (10+x)3 = (10+3x) / 3x2 / x3 Example: 123 = (10+2) = 16/12/8 => 1728 9983 = (1000-2)3 = 994 / 012 / 008 => 994011992

  5. Pythogoras Triads 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.

  6. Friendly Numbers 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 17296 & 18416 9,363,584 & 9,437,056 1184 & 1210

  7. Palindromes How to obtain a palindrome in number by doing arithmetic operation? Here is an example of getting palindrome 3821 5104 +1283 +4015 51049119which is a palindrome. Note : 3821 when reversed 1283 & 5104 when reversed 4015.

  8. Exciting Arrangement 62 - 52 = 11 562 - 552 = 111 5562 - 5552 = 1111 55562 - 55562 = 11111 92 - 22 = 77 592 - 522 = 777 5592 - 5522 = 7777 55592 - 55522 = 77777

  9. To be Continued.... Write your comments to catchhariharan@rediffmail.com Visit my website www.geocities.com/rudranhari/ Done byL.Hariharan

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