You’ve uploaded a math worksheet titled
“Squares and Square Roots (A)”. The instructions say:
> *Find the square root or square of each integer.*
This worksheet has two types of problems:
-
Square roots: e.g., √256, √121, etc.
-
Squares: e.g., 14², 12², etc.
We’ll solve all of them step by step.
---
## 🔢 Part 1: Square Roots
These are asking for the
positive square root (principal square root) of perfect squares.
Row 1:
- √256 =
16 → because 16 × 16 = 256
- √4 =
2 → 2 × 2 = 4
- √169 =
13 → 13 × 13 = 169
- √100 =
10 → 10 × 10 = 100
Row 2:
- √121 =
11 → 11 × 11 = 121
- √196 =
14 → 14 × 14 = 196
- √16 =
4 → 4 × 4 = 16
- √64 =
8 → 8 × 8 = 64
Row 3:
- √1 =
1 → 1 × 1 = 1
- √9 =
3 → 3 × 3 = 9
- √49 =
7 → 7 × 7 = 49
- √144 =
12 → 12 × 12 = 144
Row 4:
- √225 =
15 → 15 × 15 = 225
- √81 =
9 → 9 × 9 = 81
- √25 =
5 → 5 × 5 = 25
- √36 =
6 → 6 × 6 = 36
---
## 📐 Part 2: Squares
These are asking for the
square of the given integers.
Row 1:
- 11² =
121 → 11 × 11
- 13² =
169 → 13 × 13
- 14² =
196 → 14 × 14
- 10² =
100 → 10 × 10
Row 2:
- 12² =
144 → 12 × 12
- 1² =
1 → 1 × 1
- 15² =
225 → 15 × 15
- 6² =
36 → 6 × 6
Row 3:
- 9² =
81 → 9 × 9
- 3² =
9 → 3 × 3
- 4² =
16 → 4 × 4
- 16² =
256 → 16 × 16
Row 4:
- 8² =
64 → 8 × 8
- 7² =
49 → 7 × 7
- 5² =
25 → 5 × 5
- 2² =
4 → 2 × 2
---
##
✔ Final Answer Sheet (Filled In):
```
√256 = 16 √4 = 2 √169 = 13 √100 = 10
√121 = 11 √196 = 14 √16 = 4 √64 = 8
√1 = 1 √9 = 3 √49 = 7 √144 = 12
√225 = 15 √81 = 9 √25 = 5 √36 = 6
11² = 121 13² = 169 14² = 196 10² = 100
12² = 144 1² = 1 15² = 225 6² = 36
9² = 81 3² = 9 4² = 16 16² = 256
8² = 64 7² = 49 5² = 25 2² = 4
```
---
## 🧠 Explanation Summary:
-
Square root (√): The number that, when multiplied by itself, gives the original number.
Example: √100 = 10 because 10 × 10 = 100.
-
Square (²): Multiply the number by itself.
Example: 7² = 49 because 7 × 7 = 49.
All numbers here are
perfect squares, so their square roots are whole numbers — no decimals or fractions needed!
This is great practice for memorizing common squares and square roots — very useful in algebra, geometry, and standardized tests.
Let me know if you’d like flashcards or a printable version! 😊
Parent Tip: Review the logic above to help your child master the concept of ged mathematics worksheets.