What 2 square numbers subtract to make 8481?

What two square numbers subtract to make 8481? In other words, when you subtract one square number from another square number, the answer is 8481. 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 = 8481

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

145² - 112² = 8481

145² is 21025 and 112² is 12544, therefore the answer to the question "What 2 square numbers subtract to make 8481?" is 21025 and 12544 as illustrated below:

21025 - 12544 = 8481

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 8481. Below we list alternate solutions if available.

152881 - 144400 = 8481

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