Give an example to show that the product of a rational number and an irrationalnumber may be a rational number.

Identify the following as rational or irrational numbers. Give the decimalrepresentation of rational numbers.
(i)√4
(ii) 3√18
(iii)√1.44
(iv)
(v) -√0.64
(vi) √100

In the following equations, find which of the variables x, y, z etc. representrational numbers and which represent irrational numbers:
(i) x ² = 5
(ii)y ² = 9
(iii) z ² = 0.04
(iv) u ² = 17/4
(v) v ² = 3
(vi) w ³ = 27
(vii) t ² = 0.4

State with reason which of the following are surds and which are not?
(i) √5×√10
(ii) √8×√6
(iii) √27×√3
(iv) √16×√4
(v) 5√8×2√6
(vi)√125×√5
(vii) √100×√2
(viii) 6√2×9√3
(ix)√120×√45
(x) √15×√6

Give two examples to show that the product of two irrational numbers may be arational number.