`sqrt(i)-sqrt(-i)` is equal to

If agt0 and blt0, then sqrt(a)sqrt(b) is equal to (where, i=sqrt(-1))

If a<0,b>0, then sqrt(a)sqrt(b) is equal to (a) -sqrt(|a|b) (b) sqrt(|a|b)i (c) sqrt(|a|b) (d) none of these

sqrt(-1-sqrt(-1-sqrt(-1oo))) is equal to (where omega is the imaginary cube root of unity and i=sqrt(-1))

The modulus of sqrt(2i)-sqrt(-2i) is

((1+i)/(sqrt(2)))^8+((1-i)/(sqrt(2)))^8 is equal to

sqrt((-8-6i)) is equal to (where, i=sqrt(-1)

Show that ((-1+sqrt(3)i)/2)^n+((-1-sqrt(3i))/2)^n is equal to 2 when n is a multiple of 3 and is equal to -1 when n is any other positive integer.

Principal argument of complex number z=(sqrt3+i)/(sqrt3-i) equal

If z=i^(i^(i)) where i=sqrt-1 then |z| is equal to

Express (-sqrt(3)+sqrt(-2))(2sqrt(3)-i) in the form of a + i b