Question

find the least number which must be added to each of the following numbers to make it a perfect square 1 115580

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Answer 1

Answer:

The number, 80, is divisible by 4, so the entire number 115,580 is also divisible by 4. The number 115,580 ends in 0 so it may be a divisible by 25, a perfect square because all multiples of 5 end in 0 or 5.

Divide 4, a perfect square, into 115580 and you get 28895. This not divisible by a multiple of 5 but could possibly be if one adds 5 to 28895 to make 28900. Take the square root of 28900 and you get 170.

Thus 2^2 times 170^2 = 115600, so it looks like one must ADD 20 to 115580 to get a perfect square. 2* 170 = 340 and 340 squared = 115600.

Answer 2

115600 is the right answer