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

Question

744 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-07T01:41:28

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

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#