A) Both A and R are individually true and R is the correct explanation of A.
B) Both A and R are individually true but R is not the correct explanation of.
C) A is true but R is false
D) A is false but R is true.
Correct Answer: B
Solution :
If possible, let \[5\sqrt{3}\] be a rational number. So \[5\sqrt{3}=\frac{p}{q},\] where p and q are integers and \[q\ne 0\] \[\Rightarrow \] \[\sqrt{3}=\frac{p}{5q}\] Since, p, q and 5 are integers therefore \[\frac{p}{5q}\] is a rational umber. Hence, \[\sqrt{3}\] is a rational number, which is a contradiction. Therefore, \[5\sqrt{3}\] is an irrational number. \[\therefore \] Assertion is true. Reason is also true but not the correct explanation of Assertion.You need to login to perform this action.
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