Please explain the product rule of radicals, root

The video tutorial covers the basics of square roots, focusing on positive values. It explains how to simplify radicals and introduces the product rule of radicals, which allows breaking down the root of a product into individual roots. The tutorial also warns against common mistakes when dealing with addition in radicals, emphasizing that the product rule does not apply to addition or subtraction.

What is the positive square root of 36?

• 5

• 6

• 7

• 8

How can sqrt(36) be simplified using the product rule?

• sqrt(18) times sqrt(2)

• sqrt(12) times sqrt(3)

• sqrt(9) times sqrt(4)

• sqrt(6) times sqrt(6)

What does the product rule of radicals allow you to do?

• Multiply and divide radicals

• Add two radicals

• Square a radical

• Subtract two radicals

Which of the following operations is NOT supported by the product rule of radicals?

• Multiplication

• Division

• Taking the nth root

• Addition

What is the simplified form of sqrt(18)?

• 2 radical 3

• 5 radical 0

• 4 radical 1

• 3 radical 2