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

If z=x+iy=z=x+iy=((1)/(sqrt(2))-(i)/(sqrt(2)))^(-25) ,where i=sqrt(-)1, then what is the fundamental amplitude of (z-sqrt(2))/(z-i sqrt(2))?

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

Express the following in the form a+ib (i) (5+sqrt(2i))/(1-sqrt(2i)) (ii)

Express the following complex numbers in the standard form a+i b :(5+sqrt(2)i)/(1-sqrt(2)i)

Express the result in the form x+iy, where x,y are real number i=sqrt(-1) : (i) (5+sqrt(2)i)/(1-sqrt(2)i) (ii) (2+i)/((1+i)(1-2i)) .

Express the following expression in the form of a+lb: (5+sqrt(2)i)/(1-sqrt(2)i)

Express the following complex numbers in the standard form a+ib:(5+sqrt(2)i)/(1-sqrt(2)i)

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)

Express the following in the form a + i b (i) (5+sqrt(2i))/(1-sqrt(2i)) (ii) i^(-35)

For Z_(1)=6sqrt((1-i)/(1+i sqrt(3)));Z_(2)=6sqrt((1-i)/(sqrt(3)+i));Z_(3)=6sqrt((1+i)/(sqrt(3)-i)) which of the following holds good?