10th Class Mathematics Real Numbers Question Bank MCQs - Real Numbers

\[\sqrt{12}\] is:

A) an integer

B) a rational number

C) an irrational number

D) None of these

Correct Answer: C

Solution :

Sol. [c] We have, \[\sqrt{12}=\sqrt{4\times 3}=2\sqrt{3}.\]

Here, 2 is rational and \[\sqrt{3}\] is irrational.

And, the product of a rational and an irrational is irrational.

\[\therefore \,2\sqrt{3}\]i.e., \[\sqrt{12}\] is an irrational number.