Square Root Worksheets - Free Printable

It looks like you've uploaded a worksheet titled "PERFECT SQUARE ROOTS (1-9)", which contains a series of square root problems. The goal is to simplify each square root expression by finding the perfect square root of the number under the radical.

Let’s go through each problem and solve it step-by-step.

---

🔢 Perfect Square Roots (1–9)

We are looking for the positive integer that, when squared, gives the number under the square root.

Here are the perfect squares from 1 to 9:

| Number | Square |
|--------|--------|
| 1 | 1² = 1 |
| 2 | 2² = 4 |
| 3 | 3² = 9 |
| 4 | 4² = 16 |
| 5 | 5² = 25 |
| 6 | 6² = 36 |
| 7 | 7² = 49 |
| 8 | 8² = 64 |
| 9 | 9² = 81 |

Now let's solve each problem on the worksheet.

---

✔ Solved Problems

#### Row 1:
- √16 = 4 (because 4² = 16)
- √9 = 3 (because 3² = 9)
- √64 = 8 (because 8² = 64)

#### Row 2:
- √49 = 7 (because 7² = 49)
- √25 = 5 (because 5² = 25)
- √81 = 9 (because 9² = 81)

#### Row 3:
- √1 = 1 (because 1² = 1)
- √36 = 6 (because 6² = 36)
- √4 = 2 (because 2² = 4)

#### Row 4:
- √1 = 1
- √64 = 8
- √9 = 3

#### Row 5:
- √49 = 7
- √81 = 9
- √25 = 5

#### Row 6:
- √9 = 3
- √16 = 4
- √25 = 5

#### Row 7:
- √4 = 2
- √64 = 8
- √1 = 1

---

📝 Final Answer Key:

```
√16 = 4 √9 = 3 √64 = 8
√49 = 7 √25 = 5 √81 = 9
√1 = 1 √36 = 6 √4 = 2
√1 = 1 √64 = 8 √9 = 3
√49 = 7 √81 = 9 √25 = 5
√9 = 3 √16 = 4 √25 = 5
√4 = 2 √64 = 8 √1 = 1
```

---

💡 Explanation:

- A perfect square root means the number under the square root is a perfect square (like 1, 4, 9, 16, etc.), so its square root is an integer.
- You can find these by memorizing or recognizing small squares.
- For example:
√36 = ? → Think: What number times itself equals 36? → 6 × 6 = 36 → So √36 = 6.

---

✔ This worksheet helps build fluency in recognizing perfect squares and their roots — essential for algebra and higher math!

Let me know if you'd like this formatted as a printable answer key or need help with non-perfect square roots too!