Question

Assertion (A): √a is an irrational number, where a is a prime number.
Reason(R): Square root of any prime number is an irrational number.


(i) Both assertion and reason are true and reason is the correct explaination of Assertion.
(ii) Both assertion and reason are true but reason is not correct explaination of the assertion.
(iii) Assertion is true and Reason is false .
(iv) Assertion is false but Reason is true .​

Answer 1

Answer:

(i) Both assertion and reason are true and the reason is the correct explanation of Assertion.

Step-by-step explanation:

We know that a prime number a can be expressed only in the form a × 1, where 1 and a are the only prime factors. Thus, √a will never form a rational number as √(a×1) is irrational. So, both the statements are correct.

Note: We get a rational number when a has factors b × b (both rational) to get √a = b (rational number).

Hope it helps!

Please mark it as the brainliest answer!

Answer 2

• The assertion: √a is an irrational number, where a is a prime number, is

         true.

• The reason: Square root of any prime number is an irrational number, which is the correct explanation of Assertion.

• You know that prime number a expressed in a × 1.

• In which prime factors are a and 1.

• We know that a rational number is not formed by √a.

• Hence, assertion and reason both are correct.