The two natural numbers whose product is 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 respectively.

The square of a number is that number multiplied by itself. So, the squares of these reciprocals are 1*1 = 1 and (1/17)*(1/17) = 1/289.

The sum of these squares is 1 + 1/289 = 290/289 = 1 1/289.

So, the correct answer is 1 1/289.

Question

The two natural numbers whose product is 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 respectively.

The square of a number is that number multiplied by itself. So, the squares of these reciprocals are 1*1 = 1 and (1/17)*(1/17) = 1/289.

The sum of these squares is 1 + 1/289 = 290/289 = 1 1/289.

So, the correct answer is 1 1/289.

Knowee AI · Accepted Answer

The two natural numbers whose product is 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 respectively.

The square of a number is that number multiplied by itself. So, the squares of these reciprocals are 1*1 = 1 and (1/17)*(1/17) = 1/289.

The sum of these squares is 1 + 1/289 = 290/289 = 1 1/289.

So, the correct answer is 1 1/289.

Select the correct answerThe product of tow natural numbers is 17. what is the sum of the squares of their reciprocals?Options1 113/2892 11/179 1/2891 7/2891 1/289