Q. Express the following expression in the form of $a+ib:\frac{(3+i\sqrt{5})(3-i\sqrt{5})}{(\sqrt{3}+\sqrt{2}i)-(\sqrt{3}-i\sqrt{2})}$

Q. Express the given complex number in the form $a+ib:$$(\frac{1}{5}+i\frac{2}{5})-(4+i\frac{5}{2})$

Q. Express the given complex number in the form $a+ib:$${(1-i)}^4$

Q. Express the given complex number in the form $a+ib:$$3(7+7i)+i(7+i7)$

Q. Express the given complex number in the form $a+ib:$$i^9+i^{19}$

Q. Find the multiplicative inverse of the complex number $4-3i$

Q. Express the given complex number in the form $a+ib:$

Q. Express the given complex number in the form $a+ib:$$[(\frac{1}{3}+i\frac{7}{3})+(4+i\frac{1}{3})]-(-\frac{4}{3}+i)$

Q. Express the given complex number in the form $a+ib:$$\left(5i\right)(-\frac{3}{5}i)$

Q. Find the multiplicative inverse of the complex number $\sqrt{5}+3i$.

Q. Express the given complex number in the form $a+ib:$$i^{-39}$

Q. Express the given complex number in the form $a+ib:$$(1-i)-(-1+i6)$

Q. Express the given complex number in the form $a+ib:$${(\frac{1}{3}+3i)}^3$

Q. Find the multiplicative inverse of the complex number $-i$

Q. $\cos \theta =0.5698$ $\therefore \theta =....$

1. ${45}^o{15}^{\prime }$
2. ${55}^o{20}^{\prime }$
3. ${13}^o{15}^{\prime }$
4. ${55}^o{16}^{\prime }$

Q. Convert the given complex number in polar form : $-1+i$

Q. Convert the given complex number in polar form : $1-i$

Q. Find the modulus and the argument of the complex number $z=-\sqrt{3}+i$

Q. Find the modulus and the argument of the complex number $z=-1-i\sqrt{3}$

Q. Convert the given complex number in polar form : $-3$