`sqrti.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

(sqrt5 - sqrt3)/(sqrt5 + sqrt3) is equal to :

If a,b in R such that ab gt 0 , then sqrt(a)sqrt(b) is equal to

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

sqrt(10).sqrt(15) is equal to

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

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

(sqrt(-3))(sqrt(-5)) is equal to