Given surds are of order 2, 3, 4 whose 1 c. m. is 12 Changing each one of given surds to that of order 12 we get : `sqrt(2) = 2^(1/2) = 2^(1/2 xx 6/6)` `= (2^6)^(1/12) = (64)^(1/12)` `= 3sqrt(4) = 4^(1/3) = 4^(1/3 xx 4/4)` `= 4^(4/12) = (4^4)^(1/12)` `= (256)^(1/12)` `= 4sqrt(6) = 6^(1/4)` `= 6^(1/4 xx 3/3) = 6^(3/12)` `= (6^3)^(1/12) = (216)^(1/12)` Now,` (64)^(1/12) < (216)^(1/12) < (256)^(1/12)` `:. sqrt(2) < 4sqrt(6) < 3sqrt(4).`