What 2 square numbers subtract to make 3787?

What two square numbers subtract to make 3787? In other words, when you subtract one square number from another square number, the answer is 3787. 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 = 3787

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

274² - 267² = 3787

274² is 75076 and 267² is 71289, therefore the answer to the question "What 2 square numbers subtract to make 3787?" is 75076 and 71289 as illustrated below:

75076 - 71289 = 3787

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 3787. Below we list alternate solutions if available.

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