[" 3.Fis कif "],[" (i) "(1)/(sqrt(2))]

(iii) (1+i)/(sqrt(2))=sqrt(i)

sqrt(-i) = (1-i)/sqrt2

Prove that : (i) sqrt(i)= (1+i)/(sqrt(2)) (ii) sqrt(-i)=(1- i)/(sqrt(2)) (iii) sqrt(i)+sqrt(-i)=sqrt(2)

Prove that : (i) sqrt(i)= (1+i)/(sqrt(2)) (ii) sqrt(-i)=(1- i)/(sqrt(2)) (iii) sqrt(i)+sqrt(-i)=sqrt(2)

Express each of the following in the form (a + ib): (i)" "(i)/((1+i))" "(ii)" "(-1+sqrt(3)i)^(-1)" "(iii)" "(5+sqrt(2)i)/(1=sqrt(2)i)

If z=(-1)/(2)+i(sqrt(3))/(2) , then 8+10z+7z^(2) is equal to a) -(1)/(2)-i(sqrt(3))/(2) b) (1)/(2)+isqrt(3)/(2) c) -(1)/(2)+i(3sqrt(3))/(2) d) (sqrt(3))/(2)i

" 2.(i) sqrt(3x+1)-sqrt(x-1)=2

If z = ((1)/(sqrt(3)) + (1)/(2)i)^(7) + ((1)/(sqrt(3))-(1)/(2)i)^(7) , then