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Simplify square roots

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Find the largest perfect square that divides the number inside the root, and take its root outside.

  1. Simplify √44. Write the answer like 3√5.
  2. Simplify √1100. Write the answer like 3√5.
  3. Simplify √245. Write the answer like 3√5.
  4. Simplify √300. Write the answer like 3√5.
  5. Simplify √242. Write the answer like 3√5.
  6. Simplify √810. Write the answer like 3√5.
  7. Simplify √605. Write the answer like 3√5.
  8. Simplify √1331. Write the answer like 3√5.
  9. Simplify √32. Write the answer like 3√5.
  10. Simplify √1440. Write the answer like 3√5.
  11. Simplify √48. Write the answer like 3√5.
  12. Simplify √1176. Write the answer like 3√5.
  13. Simplify √250. Write the answer like 3√5.
  14. Simplify √8. Write the answer like 3√5.
  15. Simplify √2000. Write the answer like 3√5.
  16. Simplify √99. Write the answer like 3√5.
  17. Simplify √2816. Write the answer like 3√5.
  18. Simplify √108. Write the answer like 3√5.
  19. Simplify √75. Write the answer like 3√5.
  20. Simplify √882. Write the answer like 3√5.
More free practice: fieldbooklearning.com/practice/grade-8/simplify-square-roots/

Answer key: Simplify square roots

  1. 2√11
  2. 10√11
  3. 7√5
  4. 10√3
  5. 11√2
  6. 9√10
  7. 11√5
  8. 11√11
  9. 4√2
  10. 12√10
  11. 4√3
  12. 14√6
  13. 5√10
  14. 2√2
  15. 20√5
  16. 3√11
  17. 16√11
  18. 6√3
  19. 5√3
  20. 21√2