Showing posts with label shortcut. Show all posts
Showing posts with label shortcut. Show all posts

Saturday, August 28, 2010

What is S.E.?


S.E. stands for Square Edging, an invented term to describe the “non-conventional” method of taking the square root of a number based on the popular algebraic equation (A + B)2 = A2 + 2AB + B2.

Square Edging is divided into three formats;

1) S.E. “Pairing” Method (MSM-1 Format) – it is the easiest among the three and the very ‘fundamental’ of square edging. Learning it makes the principles behind MSM-2 and MSM-3 much easier to grasp. ( See: http://easysqrtsforkids.blogspot.com/2010/08/five-digitsix-digit-square-edging.html )

2) S.E. “Grouping” Method (MSM-2 Format) – it deals with perfect squares ending in 25, where MSM-1 failed. The purpose of MSM-2 is to complete the function of S.E., as a short cut method of taking the square roots of perfect squares in huge numbers. MSM-2 is a little bit tricky but once you become familiar with the rules and procedures, it becomes an enjoyable fun-game.

3) S.E. “Universal” Method (MSM-3 Format or U.S.E.) was developed through the manipulation of numbers using the two original S.E. methods. It is the ‘true’ method of taking the square root of any number, big or small, perfect or non-perfect. It makes the process direct and simple, avoiding the painstaking trial and error method and long processes of divisions and subtractions that the traditional way of taking the square root of numbers is well known (also called as the “long-hand” division, See: http://www.itl.nist.gov/div897/sqg/dads/HTML/squareRoot.html )

Sunday, August 15, 2010

Easy and Fastest Way of Taking the Square Root of Big Numbers

Want to learn the easy and fastest way of taking the square roots of big numbers (even in millions but provided that they are in perfect squares and not ending in 25), without the painstaking trial and error method of the traditional long hand division?


Try to learn the SE Telegram Method


Example: √38’77’55’29


√38’77’55’29 ……………….. P: 38’77

.. 6 ……… 3 ……………….. 65: 42’25 ↓

.. 6 ……… 7 ……………….. M : 4↓ /4250/



.N3 : 09 ................................ N7 : 49

Nx6: 2 . 2, 7 ....................... Nx4 : 8 . 2, 7

........ 29 ......................................... 29



...23 : 4’09 ....................... 27 : 4’49

..2x6: 1’2 . ................... 2x14 : 2’8 .

......... 5’29 ............................... 7’29

Mx6: 0 ..... 0, 5 ............. Mx4: 8 ...... 2, 7

……..5’29 ............................... 5’29

6023 (A)..................................6227 (B)



...73 : 49’09 ......................... 77 : 49’49

..7x6: ..4’2 . ..................... 7x14 : ..9’8 .

........... 3’29 .................................. 9’29

..Mx6: 2 ..... 2, 7 ................ Mx4: 6.... 4, 9

........... 5’29 .................................. 5’29

6273 (C) ............................... 6477 (D)



................................................. (A) ...... (B)

42’25 ....................................... 39’06 \

39’06 \ ↓ .................................. 37’53 / ↑

36 .... / ..................................... 36 ....

78’25/2 ................................... 75’06/2

39’12 .......................................37’53



Therefore √38’77’55’29 = 6,227


How I did it? Learn Square Edging MSM-1 Format