Question

Find the least number that must be subtracted from the following numbers to make them perfect squares. a) 1098 b)4498

Answer 1

Answer:

There are an infinite number of perfect squares, so there are an infinite number of numbers you can subtract from 4498 to get a perfect square. The closest perfect square to 4498 is 4489 = (67)^2. So you need to subtract 9.