What 2 square numbers subtract to make 2275?

What two square numbers subtract to make 2275? In other words, when you subtract one square number from another square number, the answer is 2275. 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 = 2275

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

50² - 15² = 2275

50² is 2500 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 2275?" is 2500 and 225 as illustrated below:

2500 - 225 = 2275

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 2275. Below we list alternate solutions if available.

3364 - 1089 = 2275
8836 - 6561 = 2275
27556 - 25281 = 2275

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