What 2 square numbers subtract to make 1851?

What two square numbers subtract to make 1851? In other words, when you subtract one square number from another square number, the answer is 1851. 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 = 1851

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

310² - 307² = 1851

310² is 96100 and 307² is 94249, therefore the answer to the question "What 2 square numbers subtract to make 1851?" is 96100 and 94249 as illustrated below:

96100 - 94249 = 1851

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 1851. Below we list alternate solutions if available.

857476 - 855625 = 1851

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