What 2 square numbers subtract to make 1588?

What two square numbers subtract to make 1588? In other words, when you subtract one square number from another square number, the answer is 1588. 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 = 1588

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

398² - 396² = 1588

398² is 158404 and 396² is 156816, therefore the answer to the question "What 2 square numbers subtract to make 1588?" is 158404 and 156816 as illustrated below:

158404 - 156816 = 1588

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 1588. Below we list alternate solutions if available.

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