What 2 square numbers subtract to make 2596?

What two square numbers subtract to make 2596? In other words, when you subtract one square number from another square number, the answer is 2596. 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 = 2596

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

70² - 48² = 2596

70² is 4900 and 48² is 2304, therefore the answer to the question "What 2 square numbers subtract to make 2596?" is 4900 and 2304 as illustrated below:

4900 - 2304 = 2596

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 2596. Below we list alternate solutions if available.

422500 - 419904 = 2596

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