What 2 square numbers subtract to make 75?

What two square numbers subtract to make 75? In other words, when you subtract one square number from another square number, the answer is 75. 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 = 75

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

10² - 5² = 75

10² is 100 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 75?" is 100 and 25 as illustrated below:

100 - 25 = 75

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 75. Below we list alternate solutions if available.

196 - 121 = 75
1444 - 1369 = 75

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