What 2 square numbers subtract to make 373?

What two square numbers subtract to make 373? In other words, when you subtract one square number from another square number, the answer is 373. 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 = 373

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

187² - 186² = 373

187² is 34969 and 186² is 34596, therefore the answer to the question "What 2 square numbers subtract to make 373?" is 34969 and 34596 as illustrated below:

34969 - 34596 = 373

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 373. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 374?
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