This week in math I learned how to covert a mixed radical to an entire even when the index is something other than two.
For example
5
![\sqrt[3]{6}](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B6%7D&bg=ffffff&fg=000000&s=0 "\sqrt[3]{6}")
First you put the 5 into the square root (dont forget to carry the number in the index)
![\sqrt[3]{5}^3{6}](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B5%7D%5E3%7B6%7D&bg=ffffff&fg=000000&s=0 "\sqrt[3]{5}^3{6}")
With this equation you have to find out what {5}^3 is which is 125.
![\sqrt[3]{125}\cdot{6}](http://s0.wp.com/latex.php?latex=%5Csqrt%5B3%5D%7B125%7D%5Ccdot%7B6%7D&bg=ffffff&fg=000000&s=0 "\sqrt[3]{125}\cdot{6}")
It might look like we’re done but we have one more step before finishing and that step is just to multiple the 125 to the 6. $latex \sqrt[3]{750}.