Algebra 2 6-3 Guided Practice: Binomial Radical Expressions

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Define like radicals. You may use the canvas to help illustrate your written definition.

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Take Note: Use the properties of like radicals to match equivalent expressions below.

Draggable item		Corresponding Item
\sqrt{5}+3\sqrt{5}		4\sqrt{5}
3\sqrt{2xy}		5\sqrt{2xy}-2\sqrt{2xy}
\sqrt[3]{xy}-5\sqrt[3]{xy}		-4\sqrt[3]{xy}

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 1 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Categorize each radical expression on the left.

4\sqrt{2}+\sqrt{2x}
\sqrt{3}+\sqrt{5}
\sqrt{7x}-5\sqrt{7x}
3\sqrt{3}-5\sqrt{3}
\sqrt[3]{11}+16\sqrt[3]{11}

In simplest form (no like radicals)
NOT in simplest form (like radicals can be combined)

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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.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Problem 3 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: FOIL helps us remember to distribute each term when multiplying two binomials. What do the letters F, O, I, and L stand for? You may use the canvas to help illustrate your written response.

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Take Note: Products like the one below often occur when multiplying binomial radical expressions.
Evaluate the expression. Write the product in its simplest form.

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Problem 4 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: What are conjugates ?

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Take Note: What is the conjugate of the radical expression below?

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Problem 5 Got It?

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Problem 5 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Consider the process of rationalizing the denominator in the expression below.
What would you multiply the expression by in order to begin to rationalize the denominator?

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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.

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Algebra 2 6-3 Guided Practice: Binomial Radical Expressions

Video Check: Select all that apply with regards to the video embedded directly above this item.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define like radicals. You may use the canvas to help illustrate your written definition.

Take Note: Use the properties of like radicals to match equivalent expressions below.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Categorize each radical expression on the left.

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

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: FOIL helps us remember to distribute each term when multiplying two binomials. What do the letters F, O, I, and L stand for? You may use the canvas to help illustrate your written response.

Take Note: Products like the one below often occur when multiplying binomial radical expressions. Evaluate the expression. Write the product in its simplest form.

Problem 4 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What are conjugates ?

Take Note: What is the conjugate of the radical expression below?

Problem 5 Got It?

Problem 5 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Consider the process of rationalizing the denominator in the expression below. What would you multiply the expression by in order to begin to rationalize the denominator?

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

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

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.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define like radicals. You may use the canvas to help illustrate your written definition.

Take Note: Use the properties of like radicals to match equivalent expressions below.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Categorize each radical expression on the left.

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

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: FOIL helps us remember to distribute each term when multiplying two binomials. What do the letters F, O, I, and L stand for? You may use the canvas to help illustrate your written response.

Take Note: Products like the one below often occur when multiplying binomial radical expressions. Evaluate the expression. Write the product in its simplest form.

Problem 4 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What are conjugates ?

Take Note: What is the conjugate of the radical expression below?

Problem 5 Got It?

Problem 5 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Consider the process of rationalizing the denominator in the expression below. What would you multiply the expression by in order to begin to rationalize the denominator?

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

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

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.

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Products like the one below often occur when multiplying binomial radical expressions.
Evaluate the expression. Write the product in its simplest form.

Take Note: Consider the process of rationalizing the denominator in the expression below.
What would you multiply the expression by in order to begin to rationalize the denominator?

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.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Products like the one below often occur when multiplying binomial radical expressions.
Evaluate the expression. Write the product in its simplest form.

Take Note: Consider the process of rationalizing the denominator in the expression below.
What would you multiply the expression by in order to begin to rationalize the denominator?

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.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?