What 2 square numbers subtract to make 7624?

What two square numbers subtract to make 7624? In other words, when you subtract one square number from another square number, the answer is 7624. 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 = 7624

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

955² - 951² = 7624

955² is 912025 and 951² is 904401, therefore the answer to the question "What 2 square numbers subtract to make 7624?" is 912025 and 904401 as illustrated below:

912025 - 904401 = 7624

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 7624. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 7625?
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