What 2 square numbers subtract to make 1461?

What two square numbers subtract to make 1461? In other words, when you subtract one square number from another square number, the answer is 1461. 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 = 1461

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

245² - 242² = 1461

245² is 60025 and 242² is 58564, therefore the answer to the question "What 2 square numbers subtract to make 1461?" is 60025 and 58564 as illustrated below:

60025 - 58564 = 1461

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 1461. Below we list alternate solutions if available.

534361 - 532900 = 1461

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