Ratio and Proportion I


   
 
Commensurable and incommensurable quantities
Two quantities are said to be commensurable if their ratio can be expressed as the ratio of two integers.
 
Examples:
 
a) Ratio of Rs.20 to Rs. 48
 
 
Rs.20, Rs.48 are commensurable.
 
 
 
, 4 are incommensurable
 
(Ratio cannot be expressed in terms of integers,
 
 
c) Ratio of the side of square to its diagonal.
 
 
 
 
Hence side of a square and its diagonal are not commensurable.
 
 
     
   
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