Question 162613
sqrt of 3 + i divided by sqrt - i 
---------------------------
= [sqrt(3+i)]/[sqrt(-i)]

= sqrt[(3+i)/(-i)]
----------------------
Multiply numerator and denominator of the fraction by "i" to get:

= sqrt[(-1+3i)/1]

= sqrt(-1+3i)

====================
Cheers,
Stan H.