Calculating Squares Roots and Squares | kellyfrindell | - Free Printable

Let's solve the problem step by step.

The task is to calculate square roots and squares from memory. We'll go through each expression one by one.

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Part 1: Square Roots

We need to find the square root of each number — that is, the number which, when multiplied by itself, gives the original number.

#### First row:
- √256 = 16 (because 16 × 16 = 256)
- √4 = 2 (because 2 × 2 = 4)
- √169 = 13 (because 13 × 13 = 169)
- √100 = 10 (because 10 × 10 = 100)

#### Second row:
- √121 = 11 (because 11 × 11 = 121)
- √196 = 14 (because 14 × 14 = 196)
- √16 = 4 (because 4 × 4 = 16)
- √64 = 8 (because 8 × 8 = 64)

#### Third row:
- √1 = 1 (because 1 × 1 = 1)
- √9 = 3 (because 3 × 3 = 9)
- √49 = 7 (because 7 × 7 = 49)
- √144 = 12 (because 12 × 12 = 144)

#### Fourth row:
- √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

Now we compute the square of each number — that is, multiply the number by itself.

#### Fifth row:
- 11² = 11 × 11 = 121
- 13² = 13 × 13 = 169
- 14² = 14 × 14 = 196
- 10² = 10 × 10 = 100

#### Sixth row:
- 12² = 12 × 12 = 144
- 1² = 1 × 1 = 1
- 15² = 15 × 15 = 225
- 6² = 6 × 6 = 36

#### Seventh row:
- 9² = 9 × 9 = 81
- 3² = 3 × 3 = 9
- 4² = 4 × 4 = 16
- 16² = 16 × 16 = 256

#### Eighth row:
- 8² = 8 × 8 = 64
- 7² = 7 × 7 = 49
- 5² = 5 × 5 = 25
- 2² = 2 × 2 = 4

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✔ Final Answer:

Here’s the completed worksheet:

```
√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
```

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🔍 Explanation:

- Square root (√x): The number that, when multiplied by itself, equals x.
- Square (n²): The result of multiplying a number by itself.

These values are commonly memorized in math education because they appear frequently in algebra, geometry, and other areas.

For example:
- √144 = 12 → because 12 × 12 = 144
- 15² = 225 → because 15 × 15 = 225

This practice helps build mental math skills and number sense.

Let me know if you'd like a printable version or flashcards for these!