Let's solve each problem step by step. We'll simplify each square root first, then perform the addition or subtraction.
---
Step 1: Simplify each square root
We recall that:
- √4 = 2
- √9 = 3
- √16 = 4
- √25 = 5
- √36 = 6
- √49 = 7
- √64 = 8
- √81 = 9
- √100 = 10
- √144 = 12
- √196 = 14
- √225 = 15
- √289 = 17
- √324 = 18
- √400 = 20
- √529 = 23
- √625 = 25
- √841 = 29
- √900 = 30
- √441 = 21
- √0 = 0
Now, let’s go through each row:
---
Row 1:
1. √400 + √144 + √16 = 20 + 12 + 4 =
36
2. √196 + √529 + √36 = 14 + 23 + 6 =
43
---
Row 2:
3. √49 - √121 - √16 = 7 - 11 - 4 =
-8
4. √121 - √25 - √400 = 11 - 5 - 20 =
-14
---
Row 3:
5. √25 + √1 + √441 = 5 + 1 + 21 =
27
6. √1 + √25 + √36 = 1 + 5 + 6 =
12
---
Row 4:
7. √0 - √36 - √225 = 0 - 6 - 15 =
-21
8. √4 - √25 - √324 = 2 - 5 - 18 =
-21
---
Row 5:
9. √49 + √400 + √25 = 7 + 20 + 5 =
32
10. √49 + √121 + √64 = 7 + 11 + 8 =
26
---
Row 6:
11. √900 - √81 - √4 = 30 - 9 - 2 =
19
12. √25 - √49 - √49 = 5 - 7 - 7 =
-9
---
Row 7:
13. √225 + √25 + √25 = 15 + 5 + 5 =
25
14. √841 + √144 + √9 = 29 + 12 + 3 =
44
---
Row 8:
15. √49 - √400 - √100 = 7 - 20 - 10 =
-23
16. √81 - √25 - √256 = 9 - 5 - 16 =
-12
---
Row 9:
17. √400 - √121 - √144 = 20 - 11 - 12 =
-3
18. √400 - √36 - √625 = 20 - 6 - 25 =
-11
---
Row 10:
19. √64 + √9 + √0 = 8 + 3 + 0 =
11
20. √25 + √9 + √1 = 5 + 3 + 1 =
9
---
Row 11:
21. √289 - √4 - √1 = 17 - 2 - 1 =
14
22. √400 - √16 - √4 = 20 - 4 - 2 =
14
---
Row 12:
23. √9 + √81 + √25 = 3 + 9 + 5 =
17
24. √1 + √36 + √64 = 1 + 6 + 8 =
15
---
✔ Final Answers (in order):
```
36 43
-8 -14
27 12
-21 -21
32 26
19 -9
25 44
-23 -12
-3 -11
11 9
14 14
17 15
```
---
✔ Answer Key (boxed):
1.
36
2.
43
3.
-8
4.
-14
5.
27
6.
12
7.
-21
8.
-21
9.
32
10.
26
11.
19
12.
-9
13.
25
14.
44
15.
-23
16.
-12
17.
-3
18.
-11
19.
11
20.
9
21.
14
22.
14
23.
17
24.
15
---
✔ All problems solved! Let me know if you'd like this in a printable format or with explanations for any specific problem.
Parent Tip: Review the logic above to help your child master the concept of square root problems worksheet.
