What 2 square numbers subtract to make 1275?

What two square numbers subtract to make 1275? In other words, when you subtract one square number from another square number, the answer is 1275. 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 = 1275

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

38² - 13² = 1275

38² is 1444 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 1275?" is 1444 and 169 as illustrated below:

1444 - 169 = 1275

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 1275. Below we list alternate solutions if available.

2116 - 841 = 1275
2500 - 1225 = 1275
16900 - 15625 = 1275

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