Algebra 1 7-5 Guided Practice: Rational Exponents and Radicals

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Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c?
Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

a=8\sqrt{2} \\ b=8 \\ c=4\sqrt{2}

a=4\sqrt{2} \\ b=4 \\ c=2\sqrt{2}

a=14\sqrt{2} \\ b=14 \\ c=14\sqrt{2}

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Take Note

index

radicand

radical sign

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Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

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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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Problem 1 Got It?

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Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

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Problem 2 Got It?

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N.RN.2

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 4 Got It?

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Algebra 1 7-5 Guided Practice: Rational Exponents and Radicals

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c?
Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

Take Note

Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c?
Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

Take Note

Take Note

Take Note

Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note

Take Note

Algebra 1 7-5 Guided Practice: Rational Exponents and Radicals

Algebra 1 7-5 Guided Practice: Rational Exponents and Radicals

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c? Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

Take Note

Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c? Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

Take Note

Take Note

Take Note

Take Note: Which of the following are equivalent to \sqrt[4]{2^{5}}? Select all that apply.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Which of the following are equivalent to 5^\frac{2}{3}? Select all that apply.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note

Take Note

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c?
Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c?
Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.