What 2 square numbers subtract to make 2245?

What two square numbers subtract to make 2245? In other words, when you subtract one square number from another square number, the answer is 2245. 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 = 2245

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

227² - 222² = 2245

227² is 51529 and 222² is 49284, therefore the answer to the question "What 2 square numbers subtract to make 2245?" is 51529 and 49284 as illustrated below:

51529 - 49284 = 2245

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 2245. Below we list alternate solutions if available.

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