What 2 square numbers subtract to make 2145?

What two square numbers subtract to make 2145? In other words, when you subtract one square number from another square number, the answer is 2145. 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 = 2145

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

47² - 8² = 2145

47² is 2209 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 2145?" is 2209 and 64 as illustrated below:

2209 - 64 = 2145

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 2145. Below we list alternate solutions if available.

2401 - 256 = 2145
6241 - 4096 = 2145
7921 - 5776 = 2145

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