How do you simplify 3/root(3) (24) ?

1 Answer
Mar 10, 2018

root 3(9)/2

Explanation:

First you can start by simplifying root 3 24. 24 can be rewritten as 3*8, and we can use that to simplify.

root 3 (3*8) = root 3 (3*2^3)=root 3 (2^3)*root 3 (3)=2root3(3).

We have now simplified the expression to 3/(2root3(3)), but we're not done yet. In order to fully simplify an expression, you must remove all radicals from the denominator. To do that, we will multiply both the numerator and denominator by root3(3) twice.

3/(2root3(3))*root3(3)/root3(3)*root3(3)/root3(3)=(3*(root3(3))^2)/(2(root3(3))^3)=(3*root3(3^2))/(2*3)=root3(9)/2 .