Q. 94.4( 51 Votes )

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

(i) z2 = 0.04

(ii) x2 = 5

Answer :


(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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