What 2 square numbers subtract to make 8497?

What two square numbers subtract to make 8497? In other words, when you subtract one square number from another square number, the answer is 8497. 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 = 8497

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

161² - 132² = 8497

161² is 25921 and 132² is 17424, therefore the answer to the question "What 2 square numbers subtract to make 8497?" is 25921 and 17424 as illustrated below:

25921 - 17424 = 8497

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 8497. Below we list alternate solutions if available.

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