What 2 square numbers subtract to make 7125?

What two square numbers subtract to make 7125? In other words, when you subtract one square number from another square number, the answer is 7125. 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 = 7125

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

85² - 10² = 7125

85² is 7225 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 7125?" is 7225 and 100 as illustrated below:

7225 - 100 = 7125

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 7125. Below we list alternate solutions if available.

8281 - 1156 = 7125
24025 - 16900 = 7125
38809 - 31684 = 7125

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