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Rationalise the denominator

10th grade (Year 11 in England) · 16 questions · Common Core: HSN.RN.A.2 · England: GCSE Higher Number

Name

Date

Score/ 16

  1. Question 1

    Rationalise 18/(5 + √7). The result is p − q√7. What is p?

    Answer

  2. Question 2

    Rationalise: 18/√6 = k√6. What is k?

    Answer

  3. Question 3

    Rationalise 20/(5 + √5). The result is p − q√5. What is p?

    Answer

  4. Question 4

    Rationalise: 28/√7 = k√7. What is k?

    Answer

  5. Question 5

    Rationalise 12/(3 + √5). The result is p − q√5. What is p?

    Answer

  6. Question 6

    Rationalise: 12/√2 = k√2. What is k?

    Answer

  7. Question 7

    Rationalise 21/(3 + √2). The result is p − q√2. What is p?

    Answer

  8. Question 8

    Rationalise: 20/√5 = k√5. What is k?

    Answer

  9. Question 9

    Rationalise 7/(3 + √2). The result is p − q√2. What is p?

    Answer

  10. Question 10

    Rationalise: 21/√7 = k√7. What is k?

    Answer

  11. Question 11

    Rationalise 18/(5 + √7). The result is p − q√7. What is p?

    Answer

  12. Question 12

    Rationalise: 12/√2 = k√2. What is k?

    Answer

  13. Question 13

    Rationalise 39/(4 + √3). The result is p − q√3. What is p?

    Answer

  14. Question 14

    Rationalise: 2/√2 = k√2. What is k?

    Answer

  15. Question 15

    Rationalise 46/(5 + √2). The result is p − q√2. What is p?

    Answer

  16. Question 16

    Rationalise: 5/√5 = k√5. What is k?

    Answer

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Answer key: Rationalise the denominator

  1. 1. 5

  2. 2. 3

  3. 3. 5

  4. 4. 4

  5. 5. 9

  6. 6. 6

  7. 7. 9

  8. 8. 4

  9. 9. 3

  10. 10. 3

  11. 11. 5

  12. 12. 6

  13. 13. 12

  14. 14. 1

  15. 15. 10

  16. 16. 1