What 2 square numbers subtract to make 676?

What two square numbers subtract to make 676? In other words, when you subtract one square number from another square number, the answer is 676. 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 = 676

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

170² - 168² = 676

170² is 28900 and 168² is 28224, therefore the answer to the question "What 2 square numbers subtract to make 676?" is 28900 and 28224 as illustrated below:

28900 - 28224 = 676

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 676. Below we list alternate solutions if available.

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