Algebra 2 6-2 Guided Practice: Multiplying and Dividing Radical Expressions
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by Matthew Richardson
| 12 Questions
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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
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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.
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Take Note: Take a moment to record the property Combining Radical Expressions: Products in your notes.
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Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not.

Yes;

Yes;

No; The indexes are different.
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Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not.

Yes;

Yes;

No; The indexes are different.
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Problem 2 Got It?
A
B
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D
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Problem 3 Got It?
A
B
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D
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Take Note: Take a moment to record the property Combining Radical Expressions: Quotients in your notes.
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Problem 4 Got It? What is the simplest form of the expression?

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Take Note: What is meant by rationalizing a denominator ?
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Take Note: Provide an example of a rational expression that includes an irrational denominator.
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Problem 5 Got It? What is the simplest form of the expression?

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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.
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Take Note: Summarize the content of this lesson.
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