(5+sqrt(2)i)/(1-sqrt(2)i)

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

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

(5+sqrt(2)i)/(1-2sqrt(i))

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (5+ sqrt2 i)/(1-sqrt2 i) .

Express (5+sqrt2i)/(1-sqrt2i) in the form a+ib.

Let z_1=((1+sqrt(3)i)^2(sqrt(3)-i))/(1-i) and z_2=((sqrt(3)+i)^2(1-sqrt(3)i))/(1+i) then

(sqrt(5+2i^(2))+sqrt(5-2i))/(sqrt(5+2i)-sqrt(5-2i))

Show that (1 / sqrt(2) + i / sqrt(2))^10 + (1 / sqrt(2) - i / sqrt(2))^10 = 0 .

Show that ((1)/( sqrt2) + (i)/( sqrt2 )) ^( 10) + ((1)/( sqrt2 ) - (i)/( sqrt2 )) ^( 10 ) = 0