What 2 square numbers subtract to make 2637?

What two square numbers subtract to make 2637? In other words, when you subtract one square number from another square number, the answer is 2637. 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 = 2637

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

151² - 142² = 2637

151² is 22801 and 142² is 20164, therefore the answer to the question "What 2 square numbers subtract to make 2637?" is 22801 and 20164 as illustrated below:

22801 - 20164 = 2637

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 2637. Below we list alternate solutions if available.

194481 - 191844 = 2637

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