What 2 square numbers subtract to make 2532?

What two square numbers subtract to make 2532? In other words, when you subtract one square number from another square number, the answer is 2532. 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 = 2532

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

214² - 208² = 2532

214² is 45796 and 208² is 43264, therefore the answer to the question "What 2 square numbers subtract to make 2532?" is 45796 and 43264 as illustrated below:

45796 - 43264 = 2532

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 2532. Below we list alternate solutions if available.

401956 - 399424 = 2532

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