a) (3+√3)/(√3)^-1 = (3+√3)*√3 = 3√3+ √3² = 3√3 +3=3(√3 +1)

б) 10/(10-√10) = √10² / (√10*(√10 -1)) =√10 /(√10 -1)

в) (х-у)/(√х+√у) = (√х+√у)(√х-√у) /(√х+√у)= (√х-√у)

г) (√b-5)/(b-25)= (√b-5)/ ((√b-5)(√b+5))= 1/(√b+5)

д) (√c² + 2√c√d + d)/(√c²-√d²) = (√c+√d)² / ((√c+√d) *(√c-√d))=

= (√c+√d) / (√c-√d)

е) ( (m^1/3)³ + (n^1/3)³ ) /(m^2/3-m^1/3n^1/3 +n^2/3)=

= (m^1/3 + n^1/3)(m^2/3-m^1/3n^1/3 +n^2/3) / (m^2/3-m^1/3n^1/3 +n^2/3) = m^1/3 + n^1/3