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

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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#