What 2 square numbers subtract to make 1476?

What two square numbers subtract to make 1476? In other words, when you subtract one square number from another square number, the answer is 1476. 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 = 1476

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

50² - 32² = 1476

50² is 2500 and 32² is 1024, therefore the answer to the question "What 2 square numbers subtract to make 1476?" is 2500 and 1024 as illustrated below:

2500 - 1024 = 1476

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 1476. Below we list alternate solutions if available.

15876 - 14400 = 1476
136900 - 135424 = 1476

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