write the smallest number must be added to 2000, to obtain a perfect square . find this perfect square and its square root .
Answers
Answer:
25 must be added to 2000, to obtain a perfect square = 2025
And the square root of this number, 2005, is equal to 45
Answer:
Step-by-step explanation:
The square root of 732 is 27.055something, which is to say 27 and change. So our choices are 27 and 28. 27 squared is 729, so you would have to subtract 3.
28 squared is 784, which is 52 away from 732.
So why bring that up? Because it’s possible to subtract a negative number, which is the same as adding a positive number. So 732 - (-52) is the other adjacent perfect square option. The question is, what do you mean by “least number?”
One definition of least is “closest to zero.” 3 is much closer to 0 than -52,so if that’s what “least” means, then it’s 3.
BUT if less than means something like “further to the left on the number line”, if for example -2<-1, then -52 is certainly much less than 3.
The problem is, it wouldn’t stop there. The further left we go, the more “least” the number becomes, so 732-(-168) is less than -52, and so forth, to infinity, as there are an infinity of perfect squares, each requiring a smaller subtraction than the least.
So while the answer may be “-infinity” the only real answer is 3.