What 2 square numbers subtract to make 5035?

What two square numbers subtract to make 5035? In other words, when you subtract one square number from another square number, the answer is 5035. 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 = 5035

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

74² - 21² = 5035

74² is 5476 and 21² is 441, therefore the answer to the question "What 2 square numbers subtract to make 5035?" is 5476 and 441 as illustrated below:

5476 - 441 = 5035

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 5035. Below we list alternate solutions if available.

20164 - 15129 = 5035
256036 - 251001 = 5035

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