How do you rationalize the denominator and simplify sqrt5/sqrt19?

1 Answer
Sep 7, 2017

(sqrt5)/(sqrt19)=(sqrt95)/19

Explanation:

Simplify:

(sqrt5)/(sqrt19)

Rationalize the denominator by multiplying the numerator and denominator by sqrt19.

(sqrt5*sqrt19)/(sqrt19*sqrt19)

Simplify.

(sqrt5*sqrt19)/19

Apply the rule: a>=sqrta*sqrtb=sqrt(ab).

(sqrt95)/19