What 2 square numbers subtract to make 3619?

What two square numbers subtract to make 3619? In other words, when you subtract one square number from another square number, the answer is 3619. 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 = 3619

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

62² - 15² = 3619

62² is 3844 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 3619?" is 3844 and 225 as illustrated below:

3844 - 225 = 3619

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 3619. Below we list alternate solutions if available.

28900 - 25281 = 3619
68644 - 65025 = 3619

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