Simplifying Roots and Multiplication

The video tutorial explains how to multiply radicals, emphasizing that the process is similar to multiplying other numbers. It introduces two methods for simplification: simplifying after multiplication and simplifying before multiplication. The general rule for multiplying radicals is discussed, highlighting the importance of having the same index. Several examples are provided to illustrate the concepts, including multiplying binomials and simplifying results.

What is the first step in the method of simplifying after multiplication?

• Simplify the radicands first.

• Multiply the coefficients and radicands separately.

• Add the coefficients together.

• Divide the radicands by the coefficients.

In the first method, what is the result of multiplying 2 and 4?

• 6

• 8

• 10

• 12

What is the simplified form of the product of 7 and 75?

• 550

• 575

• 500

• 525

In the second method, what is the first step?

• Subtract the radicands.

• Add the coefficients.

• Simplify the radicands.

• Multiply the coefficients.

What is the simplified form of 4 times the square root of 75?

• 30 times the square root of 4

• 25 times the square root of 2

• 15 times the square root of 5

• 20 times the square root of 3

What is the general rule for multiplying radicals?

• Divide the coefficients and multiply the radicands.

• Multiply both the coefficients and the radicands.

• Multiply the coefficients and add the radicands.

• Add the coefficients and multiply the radicands.

What must be true about the index when multiplying radicals?

• The index must be the same.

• The index must be different.

• The index must be less than 3.

• The index must be greater than 5.

What is the result of multiplying 5 and 1 in the first example?

• 7

• 6

• 5

• 4

What is the simplified form of the square root of 18?

• 3 times the square root of 2

• 4 times the square root of 2

• 2 times the square root of 3

• 5 times the square root of 3

What is the result of multiplying 2 and the cube root of 11?

• Cube root of 55

• Cube root of 44

• Cube root of 33

• Cube root of 22