What 2 square numbers subtract to make 1257?

What two square numbers subtract to make 1257? In other words, when you subtract one square number from another square number, the answer is 1257. 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 = 1257

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

211² - 208² = 1257

211² is 44521 and 208² is 43264, therefore the answer to the question "What 2 square numbers subtract to make 1257?" is 44521 and 43264 as illustrated below:

44521 - 43264 = 1257

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 1257. Below we list alternate solutions if available.

395641 - 394384 = 1257

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