Which of the following will result in a rational answer? multiplying pi by a fraction adding the square root of a non perfect square to a whole number adding the square root of a perfect square to pi multiplying a fraction by a repeating decimal

The rational number is:

Multiplying a fraction by a repeating decimal.

Step-by-step explanation:

We are asked to find which will result in a rational number:

1)

multiplying pi by a fraction.

As we know that π is an irrational number.

Hence if we multiply any fraction i.e. rational number to an irrational number (π) we will always obtain an irrational number.

Hence, option 1 is false.

2)

adding the square root of a non perfect square to a whole number .

If we take square root of some non perfect square than it always result to an irrational number.

and hence adding a whole number i.e. a rational number to it will again be an irrational number.

Hence, option 2 is false.

3)

adding the square root of a perfect square to pi

We know that square root of a perfect square is an rational number and adding π to it which is an irrational number will again result out an irrational number.

Hence, option 3 is false.

4)

multiplying a fraction by a repeating decimal.

We know that a repeating decimal is an rational number and multiplying a fraction to it which is again a rational number will result in an rational number.

Hence, option 4 is true.

step-by-step explanation:

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