10th Class Mathematics Real Numbers Question Bank Case Based MCQs - Real Number

Bhoomika picked up \[\frac{1}{\sqrt{8}}\]and her question was \[\frac{1}{\sqrt{8}}\]is ____ number.

A) a whole

B) a rational

C) an irrational

D) a natural

Correct Answer: C

Solution :

\[\because \,\,\sqrt{8}=2\sqrt{2}\]

\[2\sqrt{2}\] is an irrational number and the reciprocal of irrational number is also a irrational number.

So, \[\frac{1}{\sqrt{8}}\] is an irrational number.