Answer:
d. 0
Step-by-step explanation:
Given that:
A rational number is multiplied by a irrational number.
And the result is a rational number.
To find:
Such rational number wil be:
a. [tex]\frac{1}2[/tex]
b. 1
c. [tex]\frac{1}{10 }[/tex]
d. 0
Solution:
Let us consider the given options one by one.
Let the irrational number be = [tex]\pi[/tex]
Checking option a.
Multiply [tex]\pi[/tex] and [tex]\frac{1}2[/tex].
Result is: [tex]\frac{\pi}2[/tex] which is again irrational.
So, a. is not correct.
Checking option b.
Multiply [tex]\pi[/tex] and 1.
Result is: [tex]\pi[/tex] which is again irrational.
So, b. is not correct.
Checking option a.
Multiply [tex]\pi[/tex] and [tex]\frac{1}{10}[/tex].
Result is: [tex]\frac{\pi}{10}[/tex] which is again irrational.
So, c. is not correct.
Checking option d.
Multiply [tex]\pi[/tex] and 0.
Result is: 0 which is rational.
So, d. 0 is the correct answer.
