What 2 square numbers subtract to make 1653?

What two square numbers subtract to make 1653? In other words, when you subtract one square number from another square number, the answer is 1653. 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 = 1653

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

43² - 14² = 1653

43² is 1849 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 1653?" is 1849 and 196 as illustrated below:

1849 - 196 = 1653

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 1653. Below we list alternate solutions if available.

2809 - 1156 = 1653
76729 - 75076 = 1653
683929 - 682276 = 1653

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