What 2 square numbers subtract to make 1836?

What two square numbers subtract to make 1836? In other words, when you subtract one square number from another square number, the answer is 1836. 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 = 1836

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

44² - 10² = 1836

44² is 1936 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 1836?" is 1936 and 100 as illustrated below:

1936 - 100 = 1836

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 1836. Below we list alternate solutions if available.

3600 - 1764 = 1836
24336 - 22500 = 1836
211600 - 209764 = 1836

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