Algebra 1
posted by Diane .
sqrt r  sqrt s/ sqrt r + sqrt s =r sqrt r sqrt rs +sqrt s/ r
can someone check this for me please.

Use parentheses to clarify whether you mean
(sqrt r  sqrt s)/ (sqrt r + sqrt s)
or
sqrt r  (sqrt s/ sqrt r) + sqrt s 
(sqrt r sqrt s)/ sqrt r+ sqrt s)= r sqrt r  sqrt rs + sqrt s/ r
Is the answer I got correct. 
Multiply numerator and denominator by (sqrt r  sqrt s) to get rid of some sqrt signs. The new denominator becomes rs.
(sqrt r sqrt s)/(sqrt r+ sqrt s)=
[r  2 sqrt(rs)+ s]/(r s)
Your answer is not correct. If you show your work, perhaps we can show you where a mistake was made. 
Thanks, This is my first time working on Algebra.