Algebra 2 6-3 Guided Practice: Binomial Radical Expressions

by Matthew Richardson

| 16 Questions1

2

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Take Note: Define like radicals.

2

10

Take Note: Provide an example of 2 like radicals.

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10

Problem 1 Got It?

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4

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10

Problem 1 Got It?

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5

5

10

Problem 1 Got It?

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6

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Problem 2 Got It? Find the perimeter of the stained-glass window if the side of each small square is 6 in.

About 64.3 inches.

About 60 inches.

About 30 inches.

About 84.9 inches.

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7

10

Problem 3 Got It?

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8

8

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Take Note: FOIL helps us to remember do distribute each term when multiplying two binomials. What do the letters F, O, I, and L stand for?

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Problem 4 Got It?

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10

10

10

Take Note: What are conjugates ?

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11

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Problem 5 Got It?

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12

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Problem 5 Got It?

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10

Problem 6 Got It? How can you write the expression below with a rationalized denominator?

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Problem 6 Got It? How can you write the expression below with a rationalied denominator?

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Problem 6 Got It? Suppose you were going to rationalize the denominator of the expression.

Would you simplify √8 before or after rationalizing? Explain your answer.

Before rationalizing; radicals should ALWAYS be simplified first when rationalizing a denominator.

After rationalizing; multiplying the numerator by the conjugate of the denominator is more convenient if √8 is not yet simplified.

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Take Note: Summarize the content of this lesson.

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