sqrt r - sqrt s/ sqrt r + sqrt s =r sqrt r- sqrt rs +sqrt s/ r

Question

can someone check this for me please.

Answer 1

Use parentheses to clarify whether you mean
(sqrt r - sqrt s)/ (sqrt r + sqrt s)
or
sqrt r - (sqrt s/ sqrt r) + sqrt s

Answer 2

(sqrt r- sqrt s)/ sqrt r+ sqrt s)= r sqrt r - sqrt rs + sqrt s/ r

Is the answer I got correct.

Answer 3

Multiply numerator and denominator by (sqrt r - sqrt s) to get rid of some sqrt signs. The new denominator becomes r-s.

(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.

Answer 4

Thanks, This is my first time working on Algebra.