How do you simplify sqrt2 div 5sqrt3?

1 Answer
Nov 10, 2015

(sqrt(2/3))/5

Explanation:

Step 1: Rewrite in fraction form:
sqrt(2)/(5sqrt(3))

Then you can separate the square roots from the fraction:
1/5*sqrt(2)/sqrt(3)

When a fraction has the same exponent (in this case 1/2) you can rewrite the exponent outside of the entire fraction like this:

1/5 * (2/3)^(1/2) or 1/5* sqrt(2/3)

At this point you can accept the previus answers as the simplified form or you can remove the 1/5 and instead, put the entire root divided by 5:
(sqrt(2/3))/5