What 2 square numbers subtract to make 757?

What two square numbers subtract to make 757? In other words, when you subtract one square number from another square number, the answer is 757. 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 = 757

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

379² - 378² = 757

379² is 143641 and 378² is 142884, therefore the answer to the question "What 2 square numbers subtract to make 757?" is 143641 and 142884 as illustrated below:

143641 - 142884 = 757

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 757. Below we list alternate solutions if available.

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