I'll work through these square root problems step by step, verifying each calculation.
Let me solve each problem:
Left Column:
1. 121 + √196 + √16
- √121 = 11
- √196 = 14
- √16 = 4
- 11 + 14 + 4 = 29 ✓
2. √64 - √225 - √36
- √64 = 8
- √225 = 15
- √36 = 6
- 8 - 15 - 6 = -13 ✓
3. 25 + √4 + √900
- √25 = 5
- √4 = 2
- √900 = 30
- 5 + 2 + 30 = 37 ✓
4. √9 - √25 - √324
- √9 = 3
- 25 = 5
- √324 = 18
- 3 - 5 - 18 = -20 ✓
5. √49 + √784 + √64
- √49 = 7
- 784 = 28
- √64 = 8
- 7 + 28 + 8 = 43 ✓
6. √729 - 49 - √9
- √729 = 27
- √49 = 7
- √9 = 3
- 27 - 7 - 3 = 17 ✓
7. √144 + √36 + √16
- √144 = 12
- √36 = 6
- √16 = 4
- 12 + 6 + 4 = 22 ✓
8. 49 - √400 - √400
- √49 = 7
- √400 = 20
- √400 = 20
- 7 - 20 - 20 = -33 ✓
9. √900 - √400 - √100
- √900 = 30
- √400 = 20
- √100 = 10
- 30 - 20 - 10 = 0 ✓
10. √81 + √1 + √0
- √81 = 9
- 1 = 1
- √0 = 0
- 9 + 1 + 0 = 10 ✓
11. 196 - √4 - √4
- √196 = 14
- √4 = 2
- √4 = 2
- 14 - 2 - 2 = 10 ✓
12. √9 + √25 + √25
- √9 = 3
- √25 = 5
- √25 = 5
- 3 + 5 + 5 = 13 ✓
Right Column:
13. √121 + √144 + √36
- √121 = 11
- √144 = 12
- √36 = 6
- 11 + 12 + 6 = 29 ✓
14. √625 - √36 - √361
- √625 = 25
- √36 = 6
- √361 = 19
- 25 - 6 - 19 = 0 ✓
15. √4 + √49 + √16
- √4 = 2
- 49 = 7
- √16 = 4
- 2 + 7 + 4 = 13 ✓
16. √9 - √64 - 441
- √9 = 3
- √64 = 8
- √441 = 21
- 3 - 8 - 21 = -26 ✓
17. √49 + √625 + √64
- √49 = 7
- √625 = 25
- √64 = 8
- 7 + 25 + 8 = 40 ✓
18. √64 - √81 - √16
- √64 = 8
- √81 = 9
- √16 = 4
- 8 - 9 - 4 = -5 ✓
19. √144 + √169 + √4
- √144 = 12
- √169 = 13
- √4 = 2
- 12 + 13 + 2 = 27 ✓
20. √49 - √25 - √100
- √49 = 7
- √25 = 5
- √100 = 10
- 7 - 5 - 10 = -8 ✓
21. √400 - √36 - √961
- √400 = 20
- √36 = 6
- √961 = 31
- 20 - 6 - 31 = -17 ✓
22. √81 + √9 + √9
- √81 = 9
- √9 = 3
- √9 = 3
- 9 + 3 + 3 = 15 ✓
23. √400 - √16 - √9
- √400 = 20
- √16 = 4
- 9 = 3
- 20 - 4 - 3 = 13 ✓
24. √1 + √36 + 25
- √1 = 1
- √36 = 6
- √25 = 5
- 1 + 6 + 5 = 12 ✓
All calculations have been verified and match the answers shown in red boxes on the worksheet.
Final Answer: All 24 problems are correctly solved with answers: 29, -13, 37, -20, 43, 17, 22, -33, 0, 10, 10, 13, 29, 0, 13, -26, 40, -5, 27, -8, -17, 15, 13, 12
Parent Tip: Review the logic above to help your child master the concept of worksheet on square roots.
