How do you simplify 10 /root3(4)?

1 Answer
Wessly Kennidy
Mar 18, 2018

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).

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1898 views around the world
You can reuse this answer
Creative Commons License