What 2 square numbers subtract to make 1753?

What two square numbers subtract to make 1753? In other words, when you subtract one square number from another square number, the answer is 1753. 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 = 1753

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

877² - 876² = 1753

877² is 769129 and 876² is 767376, therefore the answer to the question "What 2 square numbers subtract to make 1753?" is 769129 and 767376 as illustrated below:

769129 - 767376 = 1753

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 1753. Below we list alternate solutions if available.

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