What 2 square numbers subtract to make 3676?

What two square numbers subtract to make 3676? In other words, when you subtract one square number from another square number, the answer is 3676. 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 = 3676

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

920² - 918² = 3676

920² is 846400 and 918² is 842724, therefore the answer to the question "What 2 square numbers subtract to make 3676?" is 846400 and 842724 as illustrated below:

846400 - 842724 = 3676

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 3676. Below we list alternate solutions if available.

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