What 2 square numbers subtract to make 1968?

What two square numbers subtract to make 1968? In other words, when you subtract one square number from another square number, the answer is 1968. 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 = 1968

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

53² - 29² = 1968

53² is 2809 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 1968?" is 2809 and 841 as illustrated below:

2809 - 841 = 1968

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 1968. Below we list alternate solutions if available.

7744 - 5776 = 1968
16129 - 14161 = 1968
27889 - 25921 = 1968

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What 2 square numbers subtract to make 1969?
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