What 2 square numbers subtract to make 3487?

What two square numbers subtract to make 3487? In other words, when you subtract one square number from another square number, the answer is 3487. 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 = 3487

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

164² - 153² = 3487

164² is 26896 and 153² is 23409, therefore the answer to the question "What 2 square numbers subtract to make 3487?" is 26896 and 23409 as illustrated below:

26896 - 23409 = 3487

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 3487. Below we list alternate solutions if available.

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