Convert
and
into surds of the same but smallest order.
Since
= 31/4 and
= 21/6, it follows that the given surds are of order 4 and 6 respectively. The L.C.M. of 4 and 6 is 12.So, we shall convert each one of the given surds into a surd of order 12.
= 31/4 = 3(1/4) (3/3) = 3(3/12) = ( 33)1/12 = (27)1/12 = 
= 21/6 = 2(1/6) (2/2) = 2(2/12) = (22)1/12 = (4)1/12 =
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= 3.162, evaluate
= a - b