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Topic Question Set

Q 11 :

Assertion (A): (3 + √5) is an irrational number.

Reason (R): The sum or difference of a rational and irrational number is an irrational.

  • Both A and R are true, and R is the correct explanation of A.

     

  • Both A and R are true, but R is not the correct explanation of A.

     

  • A is true, but R is false

     

  • A is false, but R is true

     

(1)

In (3 + √5), obviously 3 is rational number and √5 is an irrational number.
Also we know that sum or difference of a rational and irrational number is irrational number.
⇒ (3 + √5) is irrational number.
Hence, assertion (A) is true.
Also Reason (R) which says “The sum or difference of a rational and irrational number is irrational” is true.
Also, it helps to prove Assertion (A) and so Reason (R) is the correct explanation of Assertion (A).