The image shows a
"Square Root" wheel puzzle, where the goal is to match square roots with their simplified values. The wheel has several square root expressions around its outer edge, and you need to simplify each one and match it to the correct number in the center.
Let’s go step by step:
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Step 1: Understand the task
We are given various square roots like √100, √144, √1, etc., and we must simplify them to find their actual values.
Then, match each simplified value to the corresponding number in the center (which includes numbers like 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12).
But wait — looking at the image, the center only shows
"2" as an example. However, the full idea is that each square root simplifies to a whole number, and you connect the expression to its correct value.
So let's simplify each square root on the wheel:
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Step 2: Simplify each square root
1.
√100 = 10
2.
√144 = 12
3.
√1 = 1
4.
√4 = 2
5.
√81 = 9
6.
√64 = 8
7.
√49 = 7
8.
√36 = 6
9.
√25 = 5
10.
√16 = 4
11.
√9 = 3
Wait — there are 11 expressions listed, but only 10 segments? Let's count again.
Looking carefully:
- √100
- √144
- √1
- √4
- √81
- √64
- √49
- √36
- √25
- √16
- √9
That’s 11 expressions.
And the center has numbers from 1 to 12, probably arranged around the circle.
So, the simplified values are:
| Square Root | Simplified Value |
|-------------|------------------|
| √1 | 1 |
| √4 | 2 |
| √9 | 3 |
| √16 | 4 |
| √25 | 5 |
| √36 | 6 |
| √49 | 7 |
| √64 | 8 |
| √81 | 9 |
| √100 | 10 |
| √144 | 12 |
Note: √144 = 12, not 11.
So all values are integers from 1 to 12, except 11 is missing. But 11² = 121, which isn't listed.
So likely, the matching is:
- √1 → 1
- √4 → 2
- √9 → 3
- √16 → 4
- √25 → 5
- √36 → 6
- √49 → 7
- √64 → 8
- √81 → 9
- √100 → 10
- √144 → 12
So, the
task is likely to draw lines or match each square root to its corresponding integer.
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Final Answer:
You match each square root to its simplified value:
- √1 = 1
- √4 = 2
- √9 = 3
- √16 = 4
- √25 = 5
- √36 = 6
- √49 = 7
- √64 = 8
- √81 = 9
- √100 = 10
- √144 = 12
This activity helps students practice recognizing perfect squares and their square roots.
✔ Solution: Simplify each square root and match it to the correct number in the center of the wheel. For example, √144 = 12, so it connects to 12. Similarly, √4 = 2, so it connects to 2.
This reinforces understanding of perfect squares and square roots.
Parent Tip: Review the logic above to help your child master the concept of squares and square roots worksheet pdf.
