Question

Can someone please help me please

Answer 1

`1) (12+√(-16))/(4)=\frac{12+\sqrt{16i^(2)}}{4}\\\\\\=(12+4i)/(4)=(12)/(4)+(4i)/(4)\\\\\\= 3 + i`

Real part = 3 & imaginary part = 1

2) 4 + 7i - 8 = 4 -8 + 7i

= -4 + 7i

Real part = -4 & imaginary part = 7

`3)(√(9)+√(-4))/(5)=\frac{3+\sqrt{4i^(2)}}{5}\\\\\\=(3)/(5)+(2i)/(5)\\\\\\Real \ part = (3)/(5) \ & \ imaginary \ part = (2)/(5)`

`4) -2-√(-25)=-2-\sqrt{25i^(2)}=-2-5i`

Real part = -2 & imaginary part = -5

`5)(15-13i)/(3)=(15)/(3)-(13i)/(3)\\\\\\Real \ part = (15)/(3) \ & \ imaginary \ part = (-13)/(3)`

b) 1) 6 + 4i

2) -12+ 5i

3) 5-14i