NCERT Solutions for Chapter: Number Systems, Exercise 2: Exercise

$\frac{\sqrt{2}}{3}$ is a rational number.

Classify the following number as rational or irrational with justification:

$\frac{\sqrt{28}}{\sqrt{343}}$

Classify the following number as rational or irrational with justification:

$-\sqrt{0.4}$

Classify the following number as rational or irrational with justification:

$\frac{\sqrt{12}}{\sqrt{75}}$

Classify the following number as rational or irrational with justification:

$0.5918$

Classify the following number as rational or irrational with justification:

$(1+\sqrt{5})-(4+\sqrt{5})$

Classify the following number as rational or irrational with justification:

$10.124124\dots$

Classify the following number as rational or irrational with justification:

$1.010010001\dots$