# 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.

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