What 2 square numbers subtract to make 5731?

What two square numbers subtract to make 5731? In other words, when you subtract one square number from another square number, the answer is 5731. 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 = 5731

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

266² - 255² = 5731

266² is 70756 and 255² is 65025, therefore the answer to the question "What 2 square numbers subtract to make 5731?" is 70756 and 65025 as illustrated below:

70756 - 65025 = 5731

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 5731. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 5732?
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