Q84 of 131 Page 1

(a) Which is greater or   ? 
(b) Arrange in ascending order of magnitude  , , .

(a) L.C.M of 2 and 3 is 6
     Thus =
           
          Now      
        
(b)  L.C.M of 4, 3, and 2 is 12
      Thus,   ==
             ==
             = =
       Now,   < <
                ... < < .

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82 Write the simplest rationalising factor of   
         (i)          (ii)       (iii)         (iv)        (v) 83 Express with a rational denominator the following surds:
         (i)       (ii)      (iii)    (iv)     (v) (vi)  85 Find the value to three places of decimals, of each of the following. It is given  that= 1.414,  = 1.732,   = 3.162 and = 2.236 (approx.)   (i) (ii)   (iii)   (iv)   (v)    (vi) 86 If both of a and b are rational numbers, find the values of a and b in each of the following equalities:
          (i)     (ii) (iii)
        (iv)