Express each of the complex number given in the Exercises 1 to 10 in the form a + ib.
8. \((1-i)^4\)
Class 11
Complex Numbers and Quadratic Equations
Exercise 4.1
Express each of the complex number given in the Exercises 1 to 10 in the form a + ib.
6. \((\frac{1}{5}+i\frac{2}{5})-(4+i\frac{5}{2})\)
7. \([(\frac{1}{3}+i\frac{7}{3})+(4+i\frac{1}{3})]\)\(-(-\frac{4}{3}+i)\)
Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13.
14. Express the following expression in the form of a + ib:
\(\frac{(3+i\sqrt5)(3-i\sqrt5)}{(\sqrt3+i\sqrt2)-(\sqrt3-i\sqrt2)}\).