Simplify Radicals Simplify the Square Root of a Number

The video tutorial explains how to handle square roots of non-square numbers. It begins by reviewing the concept of square roots and square numbers, highlighting how square roots of perfect squares simplify easily. The instructor then identifies known square numbers and attempts to express the non-square number 24 using these. By rewriting 24 as a product of a square number and another number, the instructor demonstrates how to simplify the square root of 24, resulting in 2√6. The tutorial emphasizes the importance of recognizing square numbers to simplify square roots effectively.

Why can't the number 6 be rewritten as a squared number in the context of simplifying sqrt(24)?

What is the final answer when simplifying the square root of 24, and how is it derived?