Learn How to Multiply and Simplify the Square Root of Two Numbers

The video tutorial explains how to multiply radicals by multiplying the radicands and emphasizes the importance of simplifying radicals before and after multiplication. It provides a step-by-step example of multiplying sqrt(3) and sqrt(6) to get sqrt(18), and then simplifying it to 3sqrt(2) by recognizing 9 as a square number. The tutorial concludes with a reminder to always simplify where possible.

What is the first step you should take when multiplying radicals?

• Simplify the radicands if possible

• Multiply the radicands directly

• Subtract the radicands

• Add the radicands

Why is it important to simplify radicals before multiplying?

• To make the numbers larger

• To ensure the result is in its simplest form

• To avoid multiplication

• To change the radicands

When multiplying sqrt 3 and sqrt 6, what is the resulting radical?

• sqrt 9

• sqrt 18

• sqrt 12

• sqrt 36

Which square number can be used to simplify sqrt 18?

• 25

• 16

• 9

• 4

After simplifying sqrt 18, what expression do you get?

• sqrt 4 * sqrt 4.5

• sqrt 9 * sqrt 2

• sqrt 2 * sqrt 9

• sqrt 3 * sqrt 6