THE MAGICAL OF NUMBERS
Maybe most of us want to find out the numberal secrets.The following is a small example showing that the world of maths is so marvellous.

It's quite easy for us to check this equality:
11423+55647+63538=23534+31425+75649=130608
Of course, this equality has nothing so strange.But something really strange happens ,when each
term is squared .And we still have a correct equality.
11423²+55647²+63538²=23534²+31425²+75649²
You can check it by yourself by your own calculator.But that's not all, that's just like an overture in music.Because the similar equalities are still correct in spite of clearing in turn 1,2 then 3 digit(s)of each term

1423+5647+3538=3534+1425+5649
1423²+5647²+3538²=3534²+1425²+5649²

423+647+538=534+425+649
423²+647²+538²=534²+425²+649²

23+47+38=34+25+49
23²+47²+38²=34²+25²+49²

3+7+8=4+5+9
3²+7²+8²=4²+5²+9²

IT STILL CONTINUE.You clear in turn 1,2 then 3 digit(s) from right to left of each term though,two equalities similar to two first ones are still right.

1142+5564+6353=2353+3142+7564
1142²+5564²+6353²=2353²+3142²+7564²

114+556+635=235+314+756
114²+556²+635²=235²+314²+756²

11+55+63=23+31+75
11²+55²+63²=23²+31²+75²

And finally,
1+5+6=2+3+7
1²+5²+6²=2²+3²+7²
Is it amazing? Do you believe that miracle can happen?....
( from TOAN TUOI THO magazine)

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