Understanding Multiplication and Division of Radicals

The video tutorial covers the multiplication and division of radicals. It begins by explaining how to multiply radicals by multiplying the coefficients and the radicands separately, followed by simplifying the result. The tutorial then moves on to dividing radicals, emphasizing the importance of rationalizing the denominator to avoid leaving an irrational number. Finally, it discusses simplifying radicals by dividing the radicands and further simplifying the result.

What is the first step in multiplying two radicals?

• Add the coefficients

• Multiply the coefficients

• Subtract the coefficients

• Divide the coefficients

When multiplying radicals, what should you do after multiplying the coefficients?

• Divide the radicands

• Subtract the radicands

• Multiply the radicands

• Add the radicands

What is the final simplified form of 18 root two?

• 6 root 18

• 18 root 2

• 3 root 6

• 9 root 3

Why is it important to rationalize the denominator when dividing radicals?

• To simplify the numerator

• To make the expression more complex

• To add more radicals to the expression

• To eliminate the radical from the denominator

What is the result of multiplying the square root of 6 by the square root of 3?

• Square root of 9

• Square root of 18

• Square root of 12

• Square root of 15

In the context of dividing radicals, what does it mean to 'rationalize' the denominator?

• To remove the radical from the denominator

• To add a radical to the numerator

• To multiply the denominator by a constant

• To divide the numerator by a constant

How do you simplify the expression when dividing the square root of 12 by the square root of 3?

• Divide the radicands

• Add the radicands

• Subtract the radicands

• Multiply by square root of 3

What is the simplified form of the square root of 4?

• 1

• 2

• 3

• 4