How do you simplify #10 /root3(4)#?

1 Answer
Mar 18, 2018

Answer:

see below.

Explanation:

First we need to find common factor between #10# and #4# and common factor between them are #2#
#10/root(3)4=(2*5)/(root(3)2*root(3)2)#

For this equation, we need to group #2# into indices form.
#10/root(3)4=5*(2/(root(3)2)^2)#
#10/root(3)4=5*(2/2^(2/3))#
#10/root(3)4=5*(2^(1-2/3))#
#10/root(3)4=5*2^(1/3)#

So the simplest form for #10/root(3)4# is #5*2^(1/3)#.