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Which is the smallest number that can be written in two ways as the sum oftwo perfect squares

Question

Which is the smallest number that can be written in two ways as the sum oftwo perfect squares

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Solution

The smallest number that can be written in two ways as the sum of two perfect squares is 50. Here are the two ways:

1^2 + 7^2 = 50 5^2 + 5^2 = 50

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