What 2 square numbers subtract to make 4185?

What two square numbers subtract to make 4185? In other words, when you subtract one square number from another square number, the answer is 4185. 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 = 4185

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

69² - 24² = 4185

69² is 4761 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 4185?" is 4761 and 576 as illustrated below:

4761 - 576 = 4185

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 4185. Below we list alternate solutions if available.

6889 - 2704 = 4185
8281 - 4096 = 4185
21609 - 17424 = 4185

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