What 2 square numbers subtract to make 169?

What two square numbers subtract to make 169? In other words, when you subtract one square number from another square number, the answer is 169. 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 = 169

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

85² - 84² = 169

85² is 7225 and 84² is 7056, therefore the answer to the question "What 2 square numbers subtract to make 169?" is 7225 and 7056 as illustrated below:

7225 - 7056 = 169

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 169. Below we list alternate solutions if available.

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