Exploring Multiplying Radicals

This video tutorial covers the process of multiplying radicals, starting with basic steps and moving through several examples. It explains how to simplify the results and identify perfect squares. The tutorial also addresses multiplying radicals with coefficients and recognizing patterns in radical multiplication. Practice problems are provided for students to try on their own.

What is the first step when multiplying two radicals?

• Divide the numbers under the radicals

• Subtract the numbers under the radicals

• Multiply the numbers under the radicals

• Add the numbers under the radicals

If you multiply √5 and √8, what is the result before simplification?

• √20

• √10

• √40

• √13

What is the simplified form of √50?

• 2√5

• 5√2

• 25√2

• 10√5

What is the simplified form of √72?

• 3√8

• 6√2

• 4√18

• 2√36

What is the simplified form of √196?

• 16

• 12

• 18

• 14

When multiplying radicals with numbers outside the square root, what should you do first?

• Multiply the numbers outside the square root

• Divide the numbers under the radicals

• Multiply the numbers under the radicals

• Add the numbers outside the square root

What is the simplified form of 12√75?

• 5√75

• 12√15

• 25√3

• 60√3

What is the simplified form of -10√252?

• -60√7

• -10√36

• -10√42

• -60√2

What happens when you multiply a square root by itself?

• You get the square of the number

• You get the original number

• You get half the number

• You get double the number

What is the result of √11 * √11?

• 22

• 121

• 11

• 1