What 2 square numbers subtract to make 3764?

What two square numbers subtract to make 3764? In other words, when you subtract one square number from another square number, the answer is 3764. 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 = 3764

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

942² - 940² = 3764

942² is 887364 and 940² is 883600, therefore the answer to the question "What 2 square numbers subtract to make 3764?" is 887364 and 883600 as illustrated below:

887364 - 883600 = 3764

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 3764. Below we list alternate solutions if available.

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