What 2 square numbers subtract to make 701?

What two square numbers subtract to make 701? In other words, when you subtract one square number from another square number, the answer is 701. 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 = 701

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

351² - 350² = 701

351² is 123201 and 350² is 122500, therefore the answer to the question "What 2 square numbers subtract to make 701?" is 123201 and 122500 as illustrated below:

123201 - 122500 = 701

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 701. Below we list alternate solutions if available.

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