Question

How do you simplify `sqrt6/sqrt27`?

Answer 1

See below

Explanation:

1. Split the root into the roots of the products which make it up.
2. Cancel any radicals which appear in the top and bottom of the fraction.
3. Evaluate the root of any perfect square.

`sqrt6/sqrt27=(sqrt(2)xxcancel(sqrt(3)))/(cancel(sqrt(3))xxsqrt(9))=sqrt2/3`