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Question 1 of 5Simplify
$$\frac{2\sqrt{2}}{3\sqrt{5}-5\sqrt{2}}$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{-3\sqrt{5}-10}{15}$$
B
$$\frac{-2\sqrt{10}-5}{15}$$
C
$$\frac{-6\sqrt{5}-10}{5}$$
D
$$\frac{-6\sqrt{10}-20}{5}$$
E
$$\frac{2\sqrt{5}-10}{15}$$
Question 2 of 5Simplify
$$\frac{2}{5+4\sqrt{5}}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{-10+8\sqrt{5}}{55}$$
B
$$\frac{-2+5\sqrt{5}}{11}$$
C
$$\frac{4\sqrt{10}}{11}$$
D
$$\frac{\sqrt{5}}{55}$$
E
$$\frac{-10+2\sqrt{10}}{5}$$
Question 3 of 5Simplify
$$\frac{5+3\sqrt{3}}{6+3\sqrt{3}}$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{3+\sqrt{15}}{5}$$
B
$$180$$
C
$$\frac{1+\sqrt{3}}{3}$$
D
$$\frac{1+\sqrt{30}}{3}$$
E
$$\frac{-3+3\sqrt{3}}{2}$$
Question 4 of 5Simplify
$$\frac{2-6\sqrt{6x^3}}{7-7\sqrt{x^4}}$$
Next »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{1-2x\sqrt{14x}}{1-x^3}$$
B
$$\frac{8x-\sqrt{6}}{4-x^2}$$
C
$$\frac{2-6x\sqrt{6x}}{7-7x^2}$$
D
$$\frac{-2-x\sqrt{x}}{1-x^2}$$
E
$$\frac{84-x^2}{7-7x}$$
Question 5 of 5Simplify
$$\frac{2\sqrt{x^3}+2\sqrt{3x^4}}{-3x-5\sqrt{x^4}}$$
Finish »
Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\frac{12\sqrt{x}-3\sqrt{5}}{-5x}$$
B
$$\frac{\sqrt{2x}+5x\sqrt{3}}{-3+5x}$$
C
$$\frac{15\sqrt{5x}-\sqrt{5}}{-3+5x}$$
D
$$\frac{2\sqrt{x}+2x\sqrt{3}}{-3-5x}$$
E
$$\frac{2\sqrt{5x}-2x\sqrt{15}}{-3x}$$

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