What 2 square numbers subtract to make 6251?

What two square numbers subtract to make 6251? In other words, when you subtract one square number from another square number, the answer is 6251. 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 = 6251

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

90² - 43² = 6251

90² is 8100 and 43² is 1849, therefore the answer to the question "What 2 square numbers subtract to make 6251?" is 8100 and 1849 as illustrated below:

8100 - 1849 = 6251

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 6251. Below we list alternate solutions if available.

30276 - 24025 = 6251
202500 - 196249 = 6251

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