Saturday, April 21, 2012

Strange Squares

Some pairs of square numbers have a strange property .

For example, Take a pair of 144 and make reverse of it i.e. 441 .
144 is a square of 12 (12 *12 = 144)
441 is a square of 21 (21*21 = 441)

Here 12 and 21 are reverse numbers . and same with their square numbers (144 and 441) .

Another Example is , pair of 169 and 961 .
169 is a square of 13 (i.e. 13 * 13 = 169 )
961 is a square of 31 (i.e. 31 * 31 = 961 )

Here 13 and 31 are reverse numbers . and same with their square numbers (169 and 961) .
If you observe carefully , you will find only two numbers in two digits which has this combinations .

For three digit numbers , 112 and 211 is the combination .

Square of 112 ( i.e. 112 *112) is 12544
Square of 211 ( i.e. 211 *211) is 44521

Can you find any other pairs like this ?

No comments:

Post a Comment