Simplifying Square Roots of Negative Numbers with Imaginary Unit i

The video tutorial explains the concept of square roots, distinguishing between real and imaginary numbers. It covers the simplification of square roots using prime factors and introduces the imaginary unit i, defined as the square root of negative one. The tutorial provides examples of simplifying square roots of negative numbers, such as negative 25, negative 72, and negative 14, demonstrating the use of the imaginary unit i in these calculations.

What is the square root of a negative number defined in terms of?

How do square roots of positive numbers differ from square roots of negative numbers?

What is the significance of pairs of identical prime factors in simplifying square roots?

Explain how to simplify the square root of a negative number using the imaginary unit i.

What is the prime factorization of negative 25?

What is the result of simplifying the square root of negative 72?

How do you express the square root of 14 when dealing with negative numbers?