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Simplify surds (radicals)

9th grade (Year 10 in England) · 16 questions · Common Core: HSN.RN.A.2 · England: GCSE Higher Number

Name

Date

Score/ 16

  1. Question 1

    Simplify √343. It can be written as k√7. What is k?

    Answer

  2. Question 2

    Simplify √8 + √32. Write it as k√2; what is k?

    Answer

  3. Question 3

    Simplify √54. It can be written as k√6. What is k?

    Answer

  4. Question 4

    Work out √8 × √32.

    Answer

  5. Question 5

    Simplify √245. It can be written as k√5. What is k?

    Answer

  6. Question 6

    Work out √20 × √80.

    Answer

  7. Question 7

    Simplify √294. It can be written as k√6. What is k?

    Answer

  8. Question 8

    Simplify √45 + √45. Write it as k√5; what is k?

    Answer

  9. Question 9

    Simplify √18. It can be written as k√2. What is k?

    Answer

  10. Question 10

    Simplify √80 + √80. Write it as k√5; what is k?

    Answer

  11. Question 11

    Simplify √180. It can be written as k√5. What is k?

    Answer

  12. Question 12

    Simplify √18 + √32. Write it as k√2; what is k?

    Answer

  13. Question 13

    Simplify √27. It can be written as k√3. What is k?

    Answer

  14. Question 14

    Work out √12 × √3.

    Answer

  15. Question 15

    Simplify √96. It can be written as k√6. What is k?

    Answer

  16. Question 16

    Work out √45 × √5.

    Answer

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Answer key: Simplify surds (radicals)

  1. 1. 7

  2. 2. 6

  3. 3. 3

  4. 4. 16

  5. 5. 7

  6. 6. 40

  7. 7. 7

  8. 8. 6

  9. 9. 3

  10. 10. 8

  11. 11. 6

  12. 12. 7

  13. 13. 3

  14. 14. 6

  15. 15. 4

  16. 16. 15