What 2 square numbers subtract to make 156?

What two square numbers subtract to make 156? In other words, when you subtract one square number from another square number, the answer is 156. 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 = 156

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

16² - 10² = 156

16² is 256 and 10² is 100, therefore the answer to the question "What 2 square numbers subtract to make 156?" is 256 and 100 as illustrated below:

256 - 100 = 156

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 156. Below we list alternate solutions if available.

1600 - 1444 = 156

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