Question

In: Math

Basic Number theory

What is the least natural number that should be added to 7832 to make it a perfect square?

Solutions

Expert Solution

Least” can include negative numbers. Adding -7832 to 7832 gives 0, which is 0 squared.

 

But the question asks for the “least natural numbers,” which are the positive integers (some include zero as well). Sqrt (7832) = 88.4986. The next highest perfect square is 89^2 = 7921. 7921 - 7832 = 89. So you have to add 89 to 7832 to get the closest perfect square.

89

Nipun Maity answered 2 years ago
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