Principal nth Root of a negative real number

Principal nth Root of a positive real number

nth Roots of Unity

Algorithm to find the square root of a positive real number

nth roots of Unity

nth roots of Unity

nth roots of Unity

Suppose that A denotes the collection of all complex numbers whose square is a negative real number. Which one of the following statements is correct ?

Prove that for any complex number z, the product zoverline(z) is always a non-negative real number.

If the sum of the roots of a quadratic equation, is positive and product of the roots is negative, the numerically greater root has "_____" sign. [positive/negative]