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Question 1 of 5: Simplify each:
$$\frac{\sqrt{5}}{\sqrt{3}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{\sqrt{15}}{5}$$
B
$$\frac{\sqrt{15}}{3}$$
C
$$\frac{\sqrt{10}}{10}$$
D
$$\frac{3\sqrt{5}}{5}$$
E
$$2\sqrt{3}$$
Question 2 of 5: Simplify each:
Assume all variables represent positive real numbers.$$\frac{2}{4\sqrt{3x}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{2\sqrt{15}}{5}$$
B
$$\frac{\sqrt{3x}}{6x}$$
C
$$\frac{\sqrt{3}}{2}$$
D
$$\frac{2\sqrt{6}}{5}$$
E
$$\frac{3\sqrt{5}}{5}$$
Question 3 of 5: Simplify each:
Assume all variables represent positive real numbers. $$\frac{3x^2 - 2\sqrt[4]{3x^4}}{3\sqrt[4]{3x}}$$
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A
$$\frac{6\sqrt[4]{8}+ \sqrt[4]{216}}{12}$$
B
$$\frac{3\sqrt[4]{3x}}{3x^2 - 2x\sqrt[4]{3}}$$
C
$$\frac{2\sqrt[4]{108}- 3\sqrt[4]{216}}{12}$$
D
$$\frac{x\sqrt[4]{9x^3}- 5 \sqrt[4]{2x^3}}{9}$$
E
$$\frac{x\sqrt[4]{27x^3}- 2 \sqrt[4]{x^3}}{3}$$
Question 4 of 5: Simplify each:
Assume all variables represent positive real numbers. $$\frac{-5}{3 + 5\sqrt{3x^3}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{5\sqrt{15}+ 2\sqrt{10}}{15}$$
B
$$\frac{-15 + 25x\sqrt{3x}}{9 - 75x^3}$$
C
$$\frac{2\sqrt{5}- 5\sqrt{10}}{46}$$
D
$$\frac{4 - 10\sqrt{5}}{121}$$
E
$$\frac{3 - 2\sqrt{5}}{2}$$
Question 5 of 5: Simplify each:
Assume all variables represent positive real numbers. $$\frac{5 + 4\sqrt{2x}}{-2 - 4\sqrt{2x}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{-10 + 15\sqrt{3}+ 6\sqrt{2}}{23}$$
B
$$\frac{-10 - 12\sqrt{2x}+ 32x}{-32x + 25}$$
C
$$\frac{-5 + 6\sqrt{2x}+ 16x}{-16x + 2}$$
D
$$\frac{7 + 7\sqrt{3x}}{8}$$
E
$$\frac{2 + \sqrt{x}}{5}$$

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