In the following equations, find which variables x, z which represent rational or irrational numbers.

(i) z² = 0.04

(ii) x² = 5

(i) z² = 0.04

We have,

z² = 0.04

Taking square root on both the sides, we get,

√z² = √0.04

z = √0.04

=

z can be expressed in the form of , so it is a rational number.

(ii) x = √5

We have,

x² = 5

Taking square root on both sides,

= ² =

= x =

is not a perfect square root, so it is an irrational number.