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Full-Length GED Math Practice Test - Effortless Math: We Help - Free Printable

Full-Length GED Math Practice Test - Effortless Math: We Help

Educational worksheet: Full-Length GED Math Practice Test - Effortless Math: We Help. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Full-Length GED Math Practice Test - Effortless Math: We Help
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.
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