Assertion: $\sqrt{3}$ is an irrational number.
Reason: Square root a positive integer which is not a perfect square is an irrational number.
(a) Both Assertion and Reason are true and Reasom is a correct explanation of Assertion.
(b) Both Assertion and Reason and Reasom are true but Reasom is not a correct explanation of Assertion.
(c) Assertion is true and Reasom is false.
(d) Assertion is false and Reasom is true.

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Solution

(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

$\sqrt{3} is not a perfect square; hence, it is irrational .$ 3√ 3√ $\sqrt{3} i s n o t a p e r f e c t s q u a r e a n d h e n c e i s i r r a t i o n a l a n d t h e r e a s o n i s c o r r e c t e x p l a n a t i o n f o r t h e a s s e r t i o n t h u s (a) i s c o r r e c t$

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(a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion. 3is not a perfect square; hence, it is irrational. 3√ 3√3 is not a perfect square and hence is irrational and the reason is correct explanation for the assertion thus (a) is correct