SOLUTION: I am not sure if these are right or I need to go further with the problem text said not to use a table or calculator Show all work.Please help Thanks Express in simpliest radical

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Question 202372This question is from textbook Algebra Structure and Method
: I am not sure if these are right or I need to go further with the problem text said not to use a table or calculator Show all work.Please help Thanks
Express in simpliest radical form
sqrt 3/5 I get sqrt 15/25 simplest radical form
3 sqrt 13/3 I went 3 X sqrt 13 ove sqrt 3 + 3 X 3.61 over 1.74 + 8.83 simplest radical formThis question is from textbook Algebra Structure and Method

Answer by RAY100(1637) (Show Source):
You can put this solution on YOUR website!
whenever a radical is in denominator, it is cleared by multiplying num and dem by that radical. Remember sqrt(a) *sqrt(a) =(a)
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sqrt(3/5) = sqrt3/sqrt5= {sqrt3*sqrt5} / {sqrt5*sqrt5} = sqrt(15)/5
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3sqrt(13/3) ={3*sqrt(13)} / sqrt(3)= {3*sqrt13*sqrt3}/sqrt(3)*sqrt(3)={3*sqrt(39)}/3 =sqrt(39)