| Assertion (A): \[\sqrt{5}\] is an irrational number. |
| Reason (R): If m is a natural number which is not a perfect square, then \[\sqrt{m}\] is irrational |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)
C) Assertion (A) is true but reason (R) is false
D) Assertion (A) is false but reason (R) is true
Correct Answer: A
Solution :
| Sol. [a] Clearly. 5 is not a perfect square. |
| \[\therefore \,\,\,\,\,\sqrt{5}\] is irrational. |
| \[\therefore \]Assertion: True; Reason: True and it is the correct explanation of assertion. |
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