Math worksheet for practicing square roots and squares.

Here's the complete solution to the worksheet “Calculating Squares, Roots and Squares,” with explanations for each calculation.

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✔ Part 1: Square Roots (√)

The square root of a number is a value that, when multiplied by itself, gives the original number. We’ll calculate these from memory using perfect squares.

#### Row 1:
- √256 = 16
→ Because 16 × 16 = 256.
- √4 = 2
→ Because 2 × 2 = 4.
- √169 = 13
→ Because 13 × 13 = 169.
- √100 = 10
→ Because 10 × 10 = 100.

#### Row 2:
- √121 = 11
→ Because 11 × 11 = 121.
- √196 = 14
→ Because 14 × 14 = 196.
- √16 = 4
→ Because 4 × 4 = 16.
- √64 = 8
→ Because 8 × 8 = 64.

#### Row 3:
- √1 = 1
→ Because 1 × 1 = 1.
- √9 = 3
→ Because 3 × 3 = 9.
- √49 = 7
→ Because 7 × 7 = 49.
- √144 = 12
→ Because 12 × 12 = 144.

#### Row 4:
- √225 = 15
→ Because 15 × 15 = 225.
- √81 = 9
→ Because 9 × 9 = 81.
- √25 = 5
→ Because 5 × 5 = 25.
- √36 = 6
→ Because 6 × 6 = 36.

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✔ Part 2: Squares (n²)

Squaring a number means multiplying it by itself.

#### Row 1:
- 11² = 121
→ 11 × 11 = 121.
- 13² = 169
→ 13 × 13 = 169.
- 14² = 196
→ 14 × 14 = 196.
- 10² = 100
→ 10 × 10 = 100.

#### Row 2:
- 12² = 144
→ 12 × 12 = 144.
- 1² = 1
→ 1 × 1 = 1.
- 15² = 225
→ 15 × 15 = 225.
- 6² = 36
→ 6 × 6 = 36.

#### Row 3:
- 9² = 81
→ 9 × 9 = 81.
- 3² = 9
→ 3 × 3 = 9.
- 4² = 16
→ 4 × 4 = 16.
- 16² = 256
→ 16 × 16 = 256.

#### Row 4:
- 8² = 64
→ 8 × 8 = 64.
- 7² = 49
→ 7 × 7 = 49.
- 5² = 25
→ 5 × 5 = 25.
- 2² = 4
→ 2 × 2 = 4.

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📝 Final Answer Sheet:

#### Square Roots:
```
√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
```

#### Squares:
```
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
```

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💡 Tip for Memorization:

These are all perfect squares from 1² to 16². Knowing these helps with algebra, geometry, and standardized tests. You can memorize them in pairs — for example, if you know 13² = 169, then you also know √169 = 13.

Let me know if you’d like a printable version or flashcards! 😊