Learn How to Simplify the Square Root of a Number by Prime Factorization

The video tutorial explains how to simplify the square root of 12 using prime factorization. It begins by breaking down the number 12 into its prime factors, 3 and 2, and demonstrates how to express sqrt 12 as the product of these factors. The tutorial further explains the concept of square roots, illustrating with sqrt 4, and shows how pairs of numbers under the square root can be simplified. Finally, it concludes with the simplified form of sqrt 12, which is 2 times the square root of 3.

What is the prime factorization of the number 12?

Explain how to simplify the square root of 12 using prime factorization.

What does the term 'square root' mean in mathematical terms?

How can you simplify the square root of 4, and what is the result?

Why does the number 3 remain under the radical when simplifying sqrt 12?