What 2 square numbers subtract to make 3744?

What two square numbers subtract to make 3744? In other words, when you subtract one square number from another square number, the answer is 3744. 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 = 3744

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

62² - 10² = 3744

62² is 3844 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 3744?" is 3844 and 100 as illustrated below:

3844 - 100 = 3744

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 3744. Below we list alternate solutions if available.

3969 - 225 = 3744
4900 - 1156 = 3744
7225 - 3481 = 3744

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