You've uploaded a worksheet titled
“Square Roots 1 to 32 (B)”, which asks students to calculate the
principal (positive) square root of each number listed.
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📌 What is a Principal Square Root?
The
principal square root of a number is its
non-negative square root. For example:
- √9 = 3 (not -3, even though (-3)² = 9 — because “principal” means positive)
We are to find √n for each n in the grid, where n is a
perfect square (since all numbers here are squares of integers from 1 to 32).
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✔ Solution: Fill in Each Blank
Let’s go row by row and compute each square root:
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#### Row 1:
- √441 =
21 (because 21² = 441)
- √144 =
12
- √9 =
3
- √169 =
13
#### Row 2:
- √81 =
9
- √1024 =
32 (32² = 1024)
- √961 =
31 (31² = 961)
- √256 =
16
#### Row 3:
- √16 =
4
- √1 =
1
- √100 =
10
- √484 =
22 (22² = 484)
#### Row 4:
- √400 =
20
- √625 =
25
- √361 =
19
- √36 =
6
#### Row 5:
- √729 =
27 (27² = 729)
- √676 =
26
- √289 =
17
- √25 =
5
#### Row 6:
- √121 =
11
- √576 =
24
- √784 =
28
- √961 =
31 (already seen)
#### Row 7:
- √529 =
23 (23² = 529)
- √4 =
2
- √225 =
15
- √196 =
14
#### Row 8:
- √324 =
18
- √64 =
8
- √49 =
7
- √900 =
30
---
🧾 Final Answer Sheet (Filled In):
```
√441 = 21 √144 = 12 √9 = 3 √169 = 13
√81 = 9 √1024 = 32 √961 = 31 √256 = 16
√16 = 4 √1 = 1 √100 = 10 √484 = 22
√400 = 20 √625 = 25 √361 = 19 √36 = 6
√729 = 27 √676 = 26 √289 = 17 √25 = 5
√121 = 11 √576 = 24 √784 = 28 √961 = 31
√529 = 23 √4 = 2 √225 = 15 √196 = 14
√324 = 18 √64 = 8 √49 = 7 √900 = 30
```
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💡 Tip for Students:
Memorize perfect squares from 1² to 32² — it makes these problems much faster!
Example quick reference:
- 1²=1, 2²=4, 3²=9, ..., 10²=100
- 11²=121, 12²=144, ..., 20²=400
- 21²=441, 22²=484, ..., 30²=900, 31²=961, 32²=1024
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✔ You’re all set! This worksheet reinforces fluency with square roots of perfect squares — an essential skill for algebra and beyond.
Parent Tip: Review the logic above to help your child master the concept of square root worksheet with answers.
