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 first step in simplifying the square root of a number using factorization?

• Rewrite the number as a product of its prime factors

• Add the digits of the number

• Divide the number by 2

• Multiply the number by itself

Which of the following is a prime factor of 12?

• 4

• 6

• 3

• 8

What does the square root of a number represent?

• A number multiplied by itself

• A number added to itself

• A number subtracted from itself

• A number divided by itself

How can the square root of 4 be simplified?

• By expressing 4 as 2 * 2 and taking the square root of the pair

• By multiplying 4 by 2

• By dividing 4 by 2

• By adding 2 to 4

When simplifying sqrt 12, which number remains under the radical?

• 2

• 4

• 3

• 6