How do you simplify root3(32)?

1 Answer
Feb 1, 2017

2root3(2^2) or =4/root(3) 2

Explanation:

root(3)32 = root(3)(8*4)

= root(3)8* root(3)4

= root(3)(2^3)* root(3)4

=2 root(3)4 = 2root3(2^2)

or

root(3)32 = root(3)(64/2)

= root(3)64/root(3) 2=root(3)(4^3)/root(3)2

=4/root(3) 2