What 2 square numbers subtract to make 2195?

What two square numbers subtract to make 2195? In other words, when you subtract one square number from another square number, the answer is 2195. 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 = 2195

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

222² - 217² = 2195

222² is 49284 and 217² is 47089, therefore the answer to the question "What 2 square numbers subtract to make 2195?" is 49284 and 47089 as illustrated below:

49284 - 47089 = 2195

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 2195. Below we list alternate solutions if available.

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