1. Find the complex number a+bi where a, b €R for the following: a) √-3-41

b) √-5+12i

c) √12i

d) √-24+10

2. Use the result in 1(d) to solve 2-3(1+i)z+2(3+i)=0.

3. If=2-2√3i, Express z in the form a+bi where a, be R. 4. Find a quadratic equation whose roots are:

(a) -2±1

b) 2+√√5i

c) −1+√2​