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 find the
perfect square roots of numbers from 1 to 9 squared, i.e., numbers like 1, 4, 9, 16, ..., up to 81.
Let me solve each one step by step and explain the concept.
---
🔍 What is a Perfect Square Root?
A
perfect square is a number that results from squaring an integer. For example:
- $ 3^2 = 9 $ → So $ \sqrt{9} = 3 $
- $ 4^2 = 16 $ → So $ \sqrt{16} = 4 $
We're looking for the
square root of each number, which is the number that, when multiplied by itself, gives the original number.
---
Now let’s go through each problem in your worksheet:
```
√1 = ___ √4 = ___ √9 = ___
√16 = ___ √25 = ___ √36 = ___
√49 = ___ √64 = ___ √81 = ___
√100 = ___ √121 = ___ √144 = ___
√169 = ___ √196 = ___ √225 = ___
√256 = ___ √289 = ___ √324 = ___
```
Wait — your title says "Perfect Square Roots (1–9)", but some numbers go beyond 81. Let's check the actual image content. Since I can't see the image directly, I'll assume it includes perfect squares from $1^2$ to $9^2$, i.e., up to 81.
But based on the layout shown in your text, here are the likely entries:
Let me list them in order and solve:
---
✔ Solutions:
1. $ \sqrt{1} = 1 $
2. $ \sqrt{4} = 2 $
3. $ \sqrt{9} = 3 $
4. $ \sqrt{16} = 4 $
5. $ \sqrt{25} = 5 $
6. $ \sqrt{36} = 6 $
7. $ \sqrt{49} = 7 $
8. $ \sqrt{64} = 8 $
9. $ \sqrt{81} = 9 $
---
These are the
perfect square roots from 1 to 9.
> 💡 Note: If your worksheet has more numbers (like 100, 121, etc.), those are also perfect squares, but they go beyond 9² = 81. For completeness:
- $ \sqrt{100} = 10 $
- $ \sqrt{121} = 11 $
- $ \sqrt{144} = 12 $
- $ \sqrt{169} = 13 $
- $ \sqrt{196} = 14 $
- $ \sqrt{225} = 15 $
- $ \sqrt{256} = 16 $
- $ \sqrt{289} = 17 $
- $ \sqrt{324} = 18 $
But since the title says “(1–9)”, we focus on
roots from 1 to 9.
---
✔ Final Answer (for 1–81):
| Square Root | Answer |
|-------------|--------|
| $ \sqrt{1} $ | 1 |
| $ \sqrt{4} $ | 2 |
| $ \sqrt{9} $ | 3 |
| $ \sqrt{16} $ | 4 |
| $ \sqrt{25} $ | 5 |
| $ \sqrt{36} $ | 6 |
| $ \sqrt{49} $ | 7 |
| $ \sqrt{64} $ | 8 |
| $ \sqrt{81} $ | 9 |
---
📝 Explanation:
- To find $ \sqrt{n} $, ask: "What number times itself equals n?"
- Only
perfect squares have whole number square roots.
- These are fundamental for algebra, geometry, and higher math.
---
✔ Answer Key (Fill-in-the-blank):
```
√1 = 1 √4 = 2 √9 = 3
√16 = 4 √25 = 5 √36 = 6
√49 = 7 √64 = 8 √81 = 9
```
If your worksheet has more than these, please confirm or describe the exact numbers, and I’ll update accordingly!
Parent Tip: Review the logic above to help your child master the concept of worksheet on square roots.