What 2 square numbers subtract to make 8261?

What two square numbers subtract to make 8261? In other words, when you subtract one square number from another square number, the answer is 8261. 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 = 8261

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

381² - 370² = 8261

381² is 145161 and 370² is 136900, therefore the answer to the question "What 2 square numbers subtract to make 8261?" is 145161 and 136900 as illustrated below:

145161 - 136900 = 8261

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 8261. Below we list alternate solutions if available.

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