What 2 square numbers subtract to make 8625?

What two square numbers subtract to make 8625? In other words, when you subtract one square number from another square number, the answer is 8625. 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 = 8625

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

95² - 20² = 8625

95² is 9025 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 8625?" is 9025 and 400 as illustrated below:

9025 - 400 = 8625

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 8625. Below we list alternate solutions if available.

9409 - 784 = 8625
34225 - 25600 = 8625
39601 - 30976 = 8625

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