What 2 square numbers subtract to make 267?

What two square numbers subtract to make 267? In other words, when you subtract one square number from another square number, the answer is 267. 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 = 267

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

46² - 43² = 267

46² is 2116 and 43² is 1849, therefore the answer to the question "What 2 square numbers subtract to make 267?" is 2116 and 1849 as illustrated below:

2116 - 1849 = 267

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 267. Below we list alternate solutions if available.

17956 - 17689 = 267

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