What 2 square numbers subtract to make 1864?

What two square numbers subtract to make 1864? In other words, when you subtract one square number from another square number, the answer is 1864. 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 = 1864

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

235² - 231² = 1864

235² is 55225 and 231² is 53361, therefore the answer to the question "What 2 square numbers subtract to make 1864?" is 55225 and 53361 as illustrated below:

55225 - 53361 = 1864

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 1864. Below we list alternate solutions if available.

218089 - 216225 = 1864

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