What 2 square numbers subtract to make 1029?


What two square numbers subtract to make 1029? In other words, when you subtract one square number from another square number, the answer is 1029. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A2 - B2 = 1029

We solved the equation above and found this to be true:

352 - 142 = 1029

352 is 1225 and 142 is 196, therefore the answer to the question "What 2 square numbers subtract to make 1029?" is 1225 and 196 as illustrated below:

1225 - 196 = 1029


Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 1029. Below we list alternate solutions if available.

5929 - 4900 = 1029
29929 - 28900 = 1029
265225 - 264196 = 1029

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