-2*sqrt(161)*sqrt(7)/49*i^3*quad*text %2B 3 %2B sqrt(23)

1.	-2sqrt(161)sqrt(7)/49i^3quad*text %2B 3 %2B sqrt(23)
Answer» (3 + V23)-V23 x ( 3+V23)+V23/3/(3+ V23)+V23= (3+V23)-V23)^2/3+V23-V23=(3+V23-V23)(3+V23-V23)^2/3=(3)^2/3=9/3=3 (ii) (3+√23)-√23 =3+√23-√23 =3 , a rational number(iii) 2√7/7√7 =2/7 , a rational number . 2V7/7V7× V7/V7=2(V7)(V7)/7V7 (7V7)=2(7)/7V7(7V7)=14/49(7)=14/343=

-2sqrt(161)sqrt(7)/49i^3quad*text %2B 3 %2B sqrt(23)

Answer»

(3 + V23)-V23 x ( 3+V23)+V23/3/(3+ V23)+V23= (3+V23)-V23)^2/3+V23-V23=(3+V23-V23)(3+V23-V23)^2/3=(3)^2/3=9/3=3

(ii) (3+√23)-√23 =3+√23-√23 =3 , a rational number(iii) 2√7/7√7 =2/7 , a rational number .

2V7/7V7× V7/V7=2(V7)(V7)/7V7 (7V7)=2(7)/7V7(7V7)=14/49(7)=14/343=