The thing that I leran in this week is ‘how to convert to entire radicals’ , an entire radical of index 3 may be expressed as a mixed radical when the highest perfect cube has been factored out of the entire radical.A mixed radical of index 3 may be expressed as an entire radical by converting the number outside the radical symbol into a radical and then multiplying it by the radicand.
Show
(Pic: I drew it by myself)
Entire to mixed
e.g. ![\sqrt[3]{54}](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B54%7D&bg=ffffff&fg=000000&s=0 "\sqrt[3]{54}")
![\sqrt[3]{2 \cdot 3\cdot 3\cdot3}](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B2+%5Ccdot+3%5Ccdot+3%5Ccdot3%7D&bg=ffffff&fg=000000&s=0 "\sqrt[3]{2 \cdot 3\cdot 3\cdot3}")
![3\sqrt[3]{2}](http://s0.wp.com/latex.php?latex=3%5Csqrt%5B3%5D%7B2%7D&bg=ffffff&fg=000000&s=0 "3\sqrt[3]{2}")
#3 tell us how many in a group
This also works for other roots (4th,5th,6th,7th…)