How do you add #3""^3sqrt(2)+5""^3sqrt(16)#?

1 Answer
Oct 26, 2014

#3root(3)(2)+5root(3)(16)# needs to be simplified in order to add.In order to add radicals, index and radicand(inside the radical) need to be the same.

Here is how you add the expression:
#3root(3)(2)+5root(3)(16)=#
#3root(3)(2)+5root(3)(8*2)=#
#3root(3)(2)+5(root(3)(8)*root(3)(2))=#
#3root(3)(2)+5*2*root(3)(2)=#
#3root(3)(2)+10root(3)(2)=#
#13root(3)(2)#