What 2 square numbers subtract to make 167?

What two square numbers subtract to make 167? In other words, when you subtract one square number from another square number, the answer is 167. 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 = 167

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

84² - 83² = 167

84² is 7056 and 83² is 6889, therefore the answer to the question "What 2 square numbers subtract to make 167?" is 7056 and 6889 as illustrated below:

7056 - 6889 = 167

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 167. Below we list alternate solutions if available.

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