What 2 square numbers subtract to make 3576?

What two square numbers subtract to make 3576? In other words, when you subtract one square number from another square number, the answer is 3576. 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 = 3576

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

155² - 143² = 3576

155² is 24025 and 143² is 20449, therefore the answer to the question "What 2 square numbers subtract to make 3576?" is 24025 and 20449 as illustrated below:

24025 - 20449 = 3576

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 3576. Below we list alternate solutions if available.

90601 - 87025 = 3576
201601 - 198025 = 3576
801025 - 797449 = 3576

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