What 2 square numbers subtract to make 3588?

What two square numbers subtract to make 3588? In other words, when you subtract one square number from another square number, the answer is 3588. 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 = 3588

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

62² - 16² = 3588

62² is 3844 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 3588?" is 3844 and 256 as illustrated below:

3844 - 256 = 3588

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 3588. Below we list alternate solutions if available.

6724 - 3136 = 3588
91204 - 87616 = 3588
806404 - 802816 = 3588

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