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Simplify square roots with a coefficient

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 4√99. Write the answer like 3√5.
  2. Simplify 4√28. Write the answer like 3√5.
  3. Simplify 3√72. Write the answer like 3√5.
  4. Simplify 4√24. Write the answer like 3√5.
  5. Simplify 4√704. Write the answer like 3√5.
  6. Simplify 5√275. Write the answer like 3√5.
  7. Simplify 2√147. Write the answer like 3√5.
  8. Simplify 5√150. Write the answer like 3√5.
  9. Simplify 4√250. Write the answer like 3√5.
  10. Simplify 4√50. Write the answer like 3√5.
  11. Simplify 3√1000. Write the answer like 3√5.
  12. Simplify 5√704. Write the answer like 3√5.
  13. Simplify 4√864. Write the answer like 3√5.
  14. Simplify 2√704. Write the answer like 3√5.
  15. Simplify 3√300. Write the answer like 3√5.
  16. Simplify 2√176. Write the answer like 3√5.
  17. Simplify 2√1690. Write the answer like 3√5.
  18. Simplify 3√192. Write the answer like 3√5.
  19. Simplify 5√343. Write the answer like 3√5.
  20. Simplify 4√147. Write the answer like 3√5.
More free practice: fieldbooklearning.com/ca/practice/grade-8/simplify-square-roots-with-a-coefficient/

Answer key: Simplify square roots with a coefficient

  1. 12√11
  2. 8√7
  3. 18√2
  4. 8√6
  5. 32√11
  6. 25√11
  7. 14√3
  8. 25√6
  9. 20√10
  10. 20√2
  11. 30√10
  12. 40√11
  13. 48√6
  14. 16√11
  15. 30√3
  16. 8√11
  17. 26√10
  18. 24√3
  19. 35√7
  20. 28√3