1) (sqrt26+1)/(sqrt26-1)(sqrt26+1)=(sqrt26-1)/26-1=(sqrt26-1)/25
2) 35(sqrt37-sqrt2)/(sqrt37+sqrt2)(sqrt37-sqrt2)=35(sqrt37-sqrt2)/35=sqrt37-sqrt2
3) (x-4)(sqrtx+5+3)/(sqrtx+5-3)(sqrtx+5+3)=(x-4)(sqrtx+5+3)/x-4=sqrtx+5+3
4)(x^2+4x)(sqrtx+8+2)/(sqrtx+8-2)(sqrtx+8+2)=(x^2+4x)(sqrtx+8+2)/x+4=
=x(sqrtx+8+2)
5)(x^2-16)(3+sqrtx+5)/(3-sqrtx+5)(3+sqrtx+5)=(x^2-16)(3+sqrtx+5)/-(x-4)=
= -(x+4)(3+sqrtx+5)
1. (√15+√5)*√15-(5/3)*√27=15+√75-(5/3)*3√3=15+5√3-5√3=15.
2. (3/(9-х²)+1/(х-3))/(х/(х²-6х+9))=(-3/((х-3)(х+3)+1/(х-3))/(х/(х-3)²)=
=(х/((х-3)(х+3))/(х/(х-3)²)=(х-3)/(х+3).