Question 278474
{{{((sqrt(a) + sqrt(b)))/((sqrt(a)-sqrt(b)))}}}

Multiply by the conjugate of the bottom over itself, which is just 1 so it won't change the value: {{{red(((sqrt(a) + sqrt(b)))/((sqrt(a)+sqrt(b))))}}}


{{{((sqrt(a) + sqrt(b)))/((sqrt(a)-sqrt(b)))}}}{{{""*""}}}{{{red(((sqrt(a) + sqrt(b)))/((sqrt(a)+sqrt(b))))}}}

{{{((sqrt(a) + sqrt(b))*red((sqrt(a)+sqrt(b))))/

((sqrt(a) - sqrt(b))*red((sqrt(a)+sqrt(b))))}}}

USE "FOIL"

{{{ (( sqrt(a) )^2+sqrt(a)sqrt(b)+sqrt(b)sqrt(a)+(sqrt(b))^2)

/((sqrt(a))^2+sqrt(a)sqrt(b)-sqrt(b)sqrt(a)+(sqrt(b))^2) }}}

{{{ (a+2sqrt(a)sqrt(b)+b)

/(a+cross(sqrt(a)sqrt(b))-cross(sqrt(b)sqrt(a))-b) }}}

{{{  (a+2sqrt(ab)+b)

/(a-b) }}}

`
Edwin