What 2 square numbers subtract to make 8125?

What two square numbers subtract to make 8125? In other words, when you subtract one square number from another square number, the answer is 8125. 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 = 8125

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

95² - 30² = 8125

95² is 9025 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 8125?" is 9025 and 900 as illustrated below:

9025 - 900 = 8125

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 8125. Below we list alternate solutions if available.

30625 - 22500 = 8125
101761 - 93636 = 8125
664225 - 656100 = 8125

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