What 2 square numbers subtract to make 7525?


What two square numbers subtract to make 7525? In other words, when you subtract one square number from another square number, the answer is 7525. 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 = 7525

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

1092 - 662 = 7525

1092 is 11881 and 662 is 4356, therefore the answer to the question "What 2 square numbers subtract to make 7525?" is 11881 and 4356 as illustrated below:

11881 - 4356 = 7525


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 7525. Below we list alternate solutions if available.

15625 - 8100 = 7525
26569 - 19044 = 7525
292681 - 285156 = 7525

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