What 2 square numbers subtract to make 9361?

What two square numbers subtract to make 9361? In other words, when you subtract one square number from another square number, the answer is 9361. 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 = 9361

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

145² - 108² = 9361

145² is 21025 and 108² is 11664, therefore the answer to the question "What 2 square numbers subtract to make 9361?" is 21025 and 11664 as illustrated below:

21025 - 11664 = 9361

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 9361. Below we list alternate solutions if available.

46225 - 36864 = 9361
185761 - 176400 = 9361

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