What 2 square numbers subtract to make 7733?

What two square numbers subtract to make 7733? In other words, when you subtract one square number from another square number, the answer is 7733. 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 = 7733

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

123² - 86² = 7733

123² is 15129 and 86² is 7396, therefore the answer to the question "What 2 square numbers subtract to make 7733?" is 15129 and 7396 as illustrated below:

15129 - 7396 = 7733

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 7733. Below we list alternate solutions if available.

45369 - 37636 = 7733
127449 - 119716 = 7733

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