Simplify by prime factorization the square root of a prime number

The video tutorial explains how to simplify the square root of 30 by breaking it down into its prime factors. It demonstrates that 30 can be expressed as 5 * 3 * 2, but since there are no pairs of numbers, the square root cannot be simplified further. The tutorial also clarifies that the negative sign does not affect the simplification process.

What is the process to simplify the square root of 30?

How can the number 30 be expressed as a product of its prime factors?

What does the square root of a number represent?

Why can't the square root of 30 be simplified further?

What is the significance of negative numbers when taking square roots?