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Question 1 of 5: Simplify:
$$\frac{4\sqrt{5}}{2\sqrt{3}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{\sqrt{15}}{9}$$
B
$$\frac{2\sqrt{15}}{3}$$
C
$$\frac{4}{3}$$
D
$$4\sqrt{3}$$
E
$$\frac{2\sqrt{3}}{9}$$
Question 2 of 5: Simplify:
$$\frac{2\sqrt[3]{-5}}{2\sqrt[3]{4}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$-\frac{\sqrt[3]{20}}{4}$$
B
$$\frac{\sqrt[3]{5}}{4}$$
C
$$\frac{\sqrt[3]{12}}{8}$$
D
$$-\frac{\sqrt[3]{10}}{2}$$
E
$$20\sqrt[3]{10}$$
Question 3 of 5: Simplify, assume all variables represent positive real numbers:
$$\frac{4\sqrt[3]{5x^3y}}{5\sqrt[3]{2x^3y}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{4x\sqrt[3]{5}}{y}$$
B
$$\frac{2\sqrt[3]{20}}{5}$$
C
$$\frac{\sqrt[3]{20xy}}{2x}$$
D
$$\frac{4\sqrt[3]{25}}{x^2y}$$
E
$$\frac{8\sqrt[3]{x^2y}}{5}$$
Question 4 of 5: Simplify, assume all variables represent positive real numbers:
$$\frac{2x^2+5\sqrt[4]{5x}}{3\sqrt[4]{3x}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{x\sqrt[4]{9x^3}+2\sqrt[4]{25}}{3}$$
B
$$\frac{x^2\sqrt[4]{3x}+\sqrt[4]{5x^2}}{3}$$
C
$$x\sqrt[4]{20x^2}$$
D
$$\frac{20x^3\sqrt[4]{27}+\sqrt[4]{25}}{9}$$
E
$$\frac{2x\sqrt[4]{27x^3}+5\sqrt[4]{135}}{9}$$
Question 5 of 5: Simplify, assume all variables represent positive real numbers:
$$\frac{4\sqrt[5]{2xy^2}-5\sqrt[5]{5x^4y^2}}{2\sqrt[5]{16xy^4}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{8\sqrt[5]{4y^2}-5\sqrt[5]{x^2y^2}}{4}$$
B
$$\frac{2\sqrt[5]{y^3}-\sqrt[5]{2x^3y^3}}{2}$$
C
$$\sqrt[5]{20x^2y}$$
D
$$\frac{\sqrt[5]{4x^2y^2}}{20}$$
E
$$\frac{4\sqrt[5]{4y^3}-5\sqrt[5]{10x^3y^3}}{4y}$$

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