Question

How do you simplify `2 root3 81 + 3root3 24`?

Answer 1

`2root(3)(81)+3root(3)(24)=12root(3)(3)`

Explanation:

`2root(3)(81)+3root(3)(24)`

`=2root(3)(3^3*3)+3root(3)(2^3*3)`

`=2root(3)(3^3)root(3)(3)+3root(3)(2^3)root(3)(3)`

`=2*3root(3)(3)+3*2root(3)(3)`

`=6root(3)(3)+6root(3)(3)`

`=12root(3)(3)`