SOLUTION: what is the least number to be added to 2000 to make it a perfect square? please sir help me to solve the question . with explaination.

Algebra ->  Sequences-and-series -> SOLUTION: what is the least number to be added to 2000 to make it a perfect square? please sir help me to solve the question . with explaination.      Log On


   



Question 350060: what is the least number to be added to 2000 to make it a perfect square? please sir help me to solve the question . with explaination.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
prime factors = (2*2)*(2*2)*(5*5)*5=2000
2*2*2*2*5*5*(5*5) will be a perfect square
add 25 to 2000 = 2025
..
sqrt 2025 = 45