Write 192 = 26·3



Write each exponent in terms of the largest
multiple of the index of the radical which
does not exceed it.

Looking at the 26, the largest multiple of index
5 that does not exceed 6 is 5. So we write 26 as 25+1 = 25·21·

 

Looking at the t17, the largest multiple of index
5 that does not exceed 17 is 15. So we write t17 as t15+2 = t15t2·



Looking at the u15, this exponent is already a multiple of index
5 so we leave it as it.

We use the identity ab+c =abac to
rewrite  

25+1 = 2521 = 25·2,

and 

t15+2 = t15+2 = t15t2

 

To take the factors with exponents which are multiples of 5,
out of the radical, divide their exponent by the index 5, 
and get:





Edwin