A number with 100 digits is given. The first two digits of that number are 2 and 9 . How many digits has a square of that number

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1. Given : a number with 100 digits

   The first two digits of that number are 2 and 9

   To Find : How many digits has a square of that number

   29yyyy________

   Hence its less than

   300000_________

   3 with 99 0’s

   and greater than

   2000000_______

   2 with 99 0’s

   Square of 3 with 99 0’s will be

   9000000_______

   9 with 198 0’s

   Hence 199 digits

   Square of 2 with 99 0’s will be

   4000000_______

   4 with 198 0’s

   Hence 199 digits

   Hence square of that number

   is greater than a number of 199 digits also lesser than a number of 199 digits

   Hence number must be of 199 digits

   so square of that number will have 199 Digits

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