What 2 square numbers subtract to make 1557?

What two square numbers subtract to make 1557? In other words, when you subtract one square number from another square number, the answer is 1557. 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 = 1557

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

91² - 82² = 1557

91² is 8281 and 82² is 6724, therefore the answer to the question "What 2 square numbers subtract to make 1557?" is 8281 and 6724 as illustrated below:

8281 - 6724 = 1557

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 1557. Below we list alternate solutions if available.

68121 - 66564 = 1557
606841 - 605284 = 1557

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