What 2 square numbers subtract to make 4595?

What two square numbers subtract to make 4595? In other words, when you subtract one square number from another square number, the answer is 4595. 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 = 4595

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

462² - 457² = 4595

462² is 213444 and 457² is 208849, therefore the answer to the question "What 2 square numbers subtract to make 4595?" is 213444 and 208849 as illustrated below:

213444 - 208849 = 4595

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 4595. Below we list alternate solutions if available.

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