Q22 of 131 Page 1

In the following equations, find which of the variables x, y, z etc. represent rational numbers and which represent irrational numbers:
        (i) x2 = 5
        (ii) y2 = 9
        (iii) z2 = 0.04
        (iv) u2 = 
        (v) v2 = 3
        (vi) w3 = 27
        (vii) t2 = 0.4

(i) x2 = 5
   ∴ x = is irrational.
(ii) y2 = 9
    ∴ y = 3 is rational.
(iii) z2 = 0.04
    ∴ z = 0.2 is rational.
(iv) u2 = 
     ∴ u = 
          = = is irrational.
(v) v2 = 3
    ∴ v =  is irrational.
(vi) w3 = 27    ∴ w = = 3 is rational.
(vii) t2 = 0.4       ∴ t = ==is irrational.

More from this chapter

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20 Identify the following as rational or irrational numbers. Give the decimal representation of rational numbers.
(i)  
(ii) 3 
(iii) 
(iv) 
(v) - 
(vi) 21 Find two irrational numbers between 2 and 2.5. 23 Find two irrational numbers between 0.1 and 0.12. 24 Give an example to show that the product of a rational number and an irrational number may be a rational number.