Surds Gold

Surds Gold

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Question 1 of 25

1. Question
Rationalise the denominator \(\frac{8}{\surd 5}\)
- \(\frac{8\surd 5}{5}\)
- \(\frac{40}{5}\)
- \(3\)
- \(\frac{\surd 8}{5}\)
Correct

Incorrect
Question 2 of 25

2. Question
Rationalise the denominator \(\frac{16}{\surd 5}\)
- \(\frac{16\surd 5}{5}\)
- \(6\)
- \(\frac{\surd 16}{5}\)
- \(16\surd 5\)
Correct

Incorrect
Question 3 of 25

3. Question
Rationalise the denominator \(\frac{20}{\surd 5}\)
- \(4\surd 5\)
- \(\frac{\surd 20}{5}\)
- \(20\surd 5\)
- \(8\)
Correct

Incorrect
Question 4 of 25

4. Question
Rationalise the denominator \(\frac{39}{\surd 13}\)
- \(3\surd 13\)
- \(39\surd 13\)
- \(\frac{\surd 39}{13}\)
- \(6\)
Correct

Incorrect
Question 5 of 25

5. Question
Rationalise the denominator \(\frac{11}{\surd 11}\)
- \(\surd 11\)
- \(\frac{121}{11}\)
- \(11\surd 11\)
- \(2\)
Correct

Incorrect
Question 6 of 25

6. Question
Rationalise the denominator \(\frac{9}{\surd 6}\)
- \(\frac{3\surd 6}{2}\)
- \(\frac{9\surd 6}{15}\)
- \(3\)
- \(\frac{54}{6}\)
Correct

Incorrect
Question 7 of 25

7. Question
Rationalise the denominator \(\frac{5+8\surd 7}{\surd 7}\)
- \(\frac{5\surd 7+56}{7}\)
- \(4\)
- \(5+16\surd 7\)
- \(\frac{\surd 5+56}{7}\)
Correct

Incorrect
Question 8 of 25

8. Question
Rationalise the denominator \(\frac{8+6\surd 5}{\surd 5}\)
- \(\frac{8\surd 5+30}{5}\)
- \(\frac{\surd 8+30}{5}\)
- \(6\)
- \(\frac{70}{5}\)
Correct

Incorrect
Question 9 of 25

9. Question
Rationalise the denominator \(\frac{22+3\surd 11}{\surd 11}\)
- \(2\surd 11+3\)
- \(22+6\surd 11\)
- \(\frac{275}{11}\)
- \(\frac{\surd 22+33}{11}\)
Correct

Incorrect
Question 10 of 25

10. Question
Rationalise the denominator \(\frac{14+6\surd 7}{\surd 7}\)
- \(2\surd 7+6\)
- \(14+12\surd 7\)
- \(7\)
- \(\frac{\surd 14+42}{7}\)
Correct

Incorrect
Question 11 of 25

11. Question
Rationalise the denominator \(\frac{13+8\surd 13}{\surd 13}\)
- \(\surd 13+8\)
- \(\frac{273}{13}\)
- \(5\)
- \(\frac{\surd 13+104}{13}\)
Correct

Incorrect
Question 12 of 25

12. Question
Rationalise the denominator \(\frac{3+2\surd 3}{\surd 3}\)
- \(\surd 3+2\)
- \(5\)
- \(\frac{15}{3}\)
- \(3+4\surd 3\)
Correct

Incorrect
Question 13 of 25

13. Question
Rationalise the denominator \(\frac{10-2\surd 7}{\surd 7}\)
- \(\frac{10\surd 7-14}{7}\)
- \(2\)
- \(10-4\surd 7\)
- \(\frac{\surd 10-14}{7}\)
Correct

Incorrect
Question 14 of 25

14. Question
Rationalise the denominator \(\frac{7-7\surd 11}{\surd 11}\)
- \(\frac{7\surd 11-77}{11}\)
- \(7-14\surd 11\)
- \(\frac{\surd 7-77}{11}\)
- \(\frac{154}{11}\)
Correct

Incorrect
Question 15 of 25

15. Question
Rationalise the denominator \(\frac{39-8\surd 13}{\surd 13}\)
- \(3\surd 13-8\)
- \(\frac{\surd 39-104}{13}\)
- \(39-16\surd 13\)
- \(\frac{611}{13}\)
Correct

Incorrect
Question 16 of 25

16. Question
Rationalise the denominator \(\frac{25-7\surd 5}{\surd 5}\)
- \(5\surd 5-7\)
- \(9\)
- \(\frac{\surd 25-35}{5}\)
- \(25-14\surd 5\)
Correct

Incorrect
Question 17 of 25

17. Question
Rationalise the denominator \(\frac{11-2\surd 11}{\surd 11}\)
- \(\surd 11-2\)
- \(\frac{143}{11}\)
- \(11-4\surd 11\)
- \(\frac{\surd 11-22}{11}\)
Correct

Incorrect
Question 18 of 25

18. Question
Rationalise the denominator \(\frac{7-4\surd 7}{\surd 7}\)
- \(\surd 7-4\)
- \(\frac{\surd 7-28}{7}\)
- \(1\)
- \(\frac{77}{7}\)
Correct

Incorrect
Question 19 of 25

19. Question
Rationalise the denominator \(\frac{5}{3+\surd 11}\)
- \(\frac{5\surd 11-15}{2}\)
- \(\frac{\surd 5}{14}\)
- \(\frac{5-\surd 11}{3}\)
- \(1\)
Correct

Incorrect
Question 20 of 25

20. Question
Rationalise the denominator \(\frac{6}{7+\surd 7}\)
- \(\frac{7-\surd 7}{7}\)
- \(\frac{6-\surd 7}{7}\)
- \(\frac{\surd 6}{14}\)
- \(\frac{42-6\surd 7}{63}\)
Correct

Incorrect
Question 21 of 25

21. Question
Rationalise the denominator \(\frac{5}{2-\surd 3}\)
- \(10+5\surd 3\)
- \(\frac{5+\surd 3}{2}\)
- \(\frac{\surd 5}{5}\)
- \(10\)
Correct

Incorrect
Question 22 of 25

22. Question
Rationalise the denominator \(\frac{3+\surd 3}{4+\surd 3}\)
- \(\frac{9+\surd 3}{13}\)
- \(\frac{9+1\surd 3}{24}\)
- \(\frac{1+\surd 3}{4}\)
- \(\frac{\surd 1}{7}\)
Correct

Incorrect
Question 23 of 25

23. Question
Rationalise the denominator \(\frac{8+\surd 2}{7-\surd 2}\)
- \(\frac{58+15\surd 2}{47}\)
- \(\frac{58+15\surd 2}{63}\)
- \(3\)
- \(\frac{15+\surd 2}{7}\)
Correct

Incorrect
Question 24 of 25

24. Question
Rationalise the denominator \(\frac{3-\surd 7}{6-\surd 7}\)
- \(\frac{11-3\surd 7}{29}\)
- \(\frac{-3+\surd 7}{6}\)
- \(\frac{\surd -3}{13}\)
- \(\frac{11+-3\surd 7}{48}\)
Correct

Incorrect
Question 25 of 25

25. Question
Rationalise the denominator \(\frac{2-\surd 5}{5+\surd 5}\)
- \(\frac{15-7\surd 5}{20}\)
- \(-3\)
- \(\frac{-7+\surd 5}{5}\)
- \(\frac{15+-7\surd 5}{35}\)
Correct

Incorrect

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