Select the correct answerThe product of tow natural numbers is 17. what is the sum of the squares of their reciprocals?
Question
Select the correct answerThe product of tow natural numbers is 17. what is the sum of the squares of their reciprocals?
Solution
The only two natural numbers that multiply to 17 are 1 and 17. The reciprocal of a number is 1 divided by that number. So, the reciprocals of 1 and 17 are 1/1 = 1 and 1/17.
The squares of these reciprocals are 1^2 = 1 and (1/17)^2 = 1/289.
So, the sum of the squares of their reciprocals is 1 + 1/289 = 290/289 = 1.0034602076124567474048442906574.
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