Respuesta :
pi is irrational so multiplying it by a fraction will result in an irrational number.
square root of non perfect square will also give an irrational.
adding pii to rational will give irrational.
The answer is the las t One:- Multiplying a fraction by a repeated decimal - because a repeated decimal can be written as a fraction.
square root of non perfect square will also give an irrational.
adding pii to rational will give irrational.
The answer is the las t One:- Multiplying a fraction by a repeated decimal - because a repeated decimal can be written as a fraction.
Answer:
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.
