What 2 square numbers subtract to make 5965?

What two square numbers subtract to make 5965? In other words, when you subtract one square number from another square number, the answer is 5965. 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 = 5965

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

599² - 594² = 5965

599² is 358801 and 594² is 352836, therefore the answer to the question "What 2 square numbers subtract to make 5965?" is 358801 and 352836 as illustrated below:

358801 - 352836 = 5965

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 5965. Below we list alternate solutions if available.

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