What 2 square numbers subtract to make 7875?

What two square numbers subtract to make 7875? In other words, when you subtract one square number from another square number, the answer is 7875. 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 = 7875

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

90² - 15² = 7875

90² is 8100 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 7875?" is 8100 and 225 as illustrated below:

8100 - 225 = 7875

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 7875. Below we list alternate solutions if available.

8836 - 961 = 7875
12100 - 4225 = 7875
16900 - 9025 = 7875

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