Question

Can someone please help me please

Answer 1

Answer:

$1) \dfrac{12+\sqrt{-16}}{4}=\dfrac{12+\sqrt{16i^{2}}}{4}\\\\\\=\dfrac{12+4i}{4}=\dfrac{12}{4}+\dfrac{4i}{4}\\\\\\= 3 + i$

Real part = 3  & imaginary part = 1

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

                   = -4 + 7i

Real part = -4 & imaginary part = 7

$3)\dfrac{\sqrt{9}+\sqrt{-4}}{5}=\dfrac{3+\sqrt{4i^{2}}}{5}\\\\\\=\dfrac{3}{5}+\dfrac{2i}{5}\\\\\\Real \ part = \dfrac{3}{5} \ & \ imaginary \ part = \dfrac{2}{5}$

$4) -2-\sqrt{-25}=-2-\sqrt{25i^{2}}=-2-5i$

Real part = -2  & imaginary part = -5

$5)\dfrac{15-13i}{3}=\dfrac{15}{3}-\dfrac{13i}{3}\\\\\\Real \ part = \dfrac{15}{3} \ & \ imaginary \ part = \dfrac{-13}{3}$

b) 1) 6 + 4i

2) -12+ 5i

3) 5-14i