Rationalize the denominator square root of - 16 over (1+i) + (6+3i)

√-16 / [ (1+i) + (6+3i) ]=

4i/[ (1+i) + (6+3i) ]=

4i / (7+4i) =

4i / (7+4i) (7-4i) / (7-4i) =

4i (7-4i) / [ (7+4i) (7-4i) ]=

(28i-16i²) / (49-16i²) =

(28i+16) / (49+16) =

(28i+16) / 65

Remember:

i=√-1

i²=-1

Answer:√-16 / [ (1+i) + (6+3i) ] = (28i+16) / 65