Simplified Radical Form - High School Math Help Pages 1-3 - Flip ... - Free Printable

To simplify radicals, we need to find the largest perfect square that divides evenly into the number under the square root. Then we can take the square root of that perfect square and move it outside the radical sign.

Let’s go through each one:

1. √0 = 0 (because 0 × 0 = 0)
2. √1 = 1 (because 1 × 1 = 1)
3. √4 = 2 (because 2 × 2 = 4)
4. √8 → 8 = 4 × 2 → √(4×2) = √4 × √2 = 2√2
5. √9 = 3 (because 3 × 3 = 9)
6. √12 → 12 = 4 × 3 → √(4×3) = 2√3
7. √16 = 4 (because 4 × 4 = 16)
8. √18 → 18 = 9 × 2 → √(9×2) = 3√2
9. √20 → 20 = 4 × 5 → √(4×5) = 2√5
10. √24 → 24 = 4 × 6 → √(4×6) = 2√6
11. √25 = 5 (because 5 × 5 = 25)
12. √27 → 27 = 9 × 3 → √(9×3) = 3√3
13. √28 → 28 = 4 × 7 → √(4×7) = 2√7
14. √32 → 32 = 16 × 2 → √(16×2) = 4√2
15. √36 = 6 (because 6 × 6 = 36)
16. √40 → 40 = 4 × 10 → √(4×10) = 2√10
17. √44 → 44 = 4 × 11 → √(4×11) = 2√11
18. √45 → 45 = 9 × 5 → √(9×5) = 3√5
19. √48 → 48 = 16 × 3 → √(16×3) = 4√3
20. √49 = 7 (because 7 × 7 = 49)
21. √50 → 50 = 25 × 2 → √(25×2) = 5√2
22. √52 → 52 = 4 × 13 → √(4×13) = 2√13
23. √54 → 54 = 9 × 6 → √(9×6) = 3√6
24. √56 → 56 = 4 × 14 → √(4×14) = 2√14
25. √60 → 60 = 4 × 15 → √(4×15) = 2√15
26. √63 → 63 = 9 × 7 → √(9×7) = 3√7
27. √64 = 8 (because 8 × 8 = 64)
28. √68 → 68 = 4 × 17 → √(4×17) = 2√17
29. √72 → 72 = 36 × 2 → √(36×2) = 6√2
30. √75 → 75 = 25 × 3 → √(25×3) = 5√3
31. √76 → 76 = 4 × 19 → √(4×19) = 2√19
32. √80 → 80 = 16 × 5 → √(16×5) = 4√5
33. √81 = 9 (because 9 × 9 = 81)
34. √84 → 84 = 4 × 21 → √(4×21) = 2√21
35. √88 → 88 = 4 × 22 → √(4×22) = 2√22
36. √90 → 90 = 9 × 10 → √(9×10) = 3√10
37. √92 → 92 = 4 × 23 → √(4×23) = 2√23
38. √96 → 96 = 16 × 6 → √(16×6) = 4√6
39. √98 → 98 = 49 × 2 → √(49×2) = 7√2
40. √99 → 99 = 9 × 11 → √(9×11) = 3√11
41. √100 = 10 (because 10 × 10 = 100)

All answers are now simplified correctly.

Final Answer:
1. 0
2. 1
3. 2
4. 2√2
5. 3
6. 2√3
7. 4
8. 3√2
9. 2√5
10. 2√6
11. 5
12. 3√3
13. 2√7
14. 4√2
15. 6
16. 2√10
17. 2√11
18. 3√5
19. 4√3
20. 7
21. 5√2
22. 2√13
23. 3√6
24. 2√14
25. 2√15
26. 3√7
27. 8
28. 2√17
29. 6√2
30. 5√3
31. 2√19
32. 4√5
33. 9
34. 2√21
35. 2√22
36. 3√10
37. 2√23
38. 4√6
39. 7√2
40. 3√11
41. 10