Learn how to simplify square root of a number when it is multiplied by another number

The video tutorial demonstrates how to simplify the expression 3 times the square root of 20. It begins by identifying the largest square factor of 20, which is 4. The instructor then rewrites 20 as a product of 4 and 5, allowing the square root of 4 to be simplified to 2. This results in the expression being simplified to 6 times the square root of 5.

What is the first step in simplifying 3 times the square root of 20?

• Multiply 3 by 20

• Rewrite 20 as a product of its largest square factor

• Divide 20 by 3

• Find the square root of 20 directly

Which of the following is a square factor of 20?

• 9

• 4

• 16

• 25

After identifying 4 as a square factor, how is 20 rewritten?

• 4 times 5

• 2 times 10

• 5 times 4

• 10 times 2

What is the square root of 4?

• 1

• 4

• 2

• 3

What is the final simplified form of 3 times the square root of 20?

• 3 times the square root of 5

• 12 times the square root of 5

• 6 times the square root of 5

• 9 times the square root of 5