What 2 square numbers subtract to make 699?

What two square numbers subtract to make 699? In other words, when you subtract one square number from another square number, the answer is 699. 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 = 699

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

118² - 115² = 699

118² is 13924 and 115² is 13225, therefore the answer to the question "What 2 square numbers subtract to make 699?" is 13924 and 13225 as illustrated below:

13924 - 13225 = 699

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 699. Below we list alternate solutions if available.

122500 - 121801 = 699

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