Algebra 2 6-2 Guided Practice: Multiplying and Dividing Radical Expressions

by Matthew Richardson

| 12 Questions1

2

1

10

Solve It! You can cut the 36-square into four 9-squares or nine 4-squares. Which other n-square can you cut into sets of smaller squares in two ways?

A 64-square

A 49-square

An 18-square

2

10

Solve It! Is there a square you can cut into smaller squares in three ways? Explain.

No, this only works when n is a perfect square and only creates two ways in which to divied the n-square into squares.

Yes, any n-square where n is the product of three perfect squares can be cut into smaller squares in three ways.

a

Take Note: Take a moment to record the property Combining Radical Expressions: Products in your notes.

3

10

Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not.

Yes;

Yes;

No; The indexes are different.

4

10

Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not.

Yes;

Yes;

No; The indexes are different.

5

5

10

Problem 2 Got It?

A

B

C

D

6

6

10

Problem 3 Got It?

A

B

C

D

a

Take Note: Take a moment to record the property Combining Radical Expressions: Quotients in your notes.

7

10

Problem 4 Got It? What is the simplest form of the expression?

8

9

8

10

Take Note: What is meant by rationalizing a denominator ?

9

10

Take Note: Provide an example of a rational expression that includes an irrational denominator.

10

10

Problem 5 Got It? What is the simplest form of the expression?

11

11

10

Problem 5 Got It? Which answer choices in Problem 5 could have been eliminated immediately? Explain. Select all that apply.

B; There is a cube root in the denominator.

A; There is a cube root in the numerator.

C; There is a cube root in the denominator.

D; There is no y in the expression.

12

12

10

Take Note: Summarize the content of this lesson.

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