Question

How do you rationalize the denominator and simplify `(sqrt3)/(sqrt(5c))`?

Answer 1

`(sqrt(15))/(5c)`

Explanation:

`sqrt3/sqrt(5c)`

To rationalize the denominator, we need to multiply the top and bottom by `sqrt(5c)`.

`(sqrt(3) xx sqrt(5c))/(sqrt(5c) xx sqrt(5c))`

`(sqrt(15c))/(sqrt(5c)^2)`

The square root and the square cancel each other out, so we are left with

`(sqrt(15))/(5c)`