Absolutely! Let's solve this worksheet step by step. The task is to calculate
square roots (the √ symbol) and
squares (the ² symbol) from memory — meaning we rely on knowing perfect squares and their roots.
---
## 🔢 Part 1: Square Roots (√)
We need to find the number that, when multiplied by itself, gives the number under the square root.
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 → 11 × 11 = 121
-
√196 = 14 → 14 × 14 = 196
-
√16 = 4 → 4 × 4 = 16
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√64 = 8 → 8 × 8 = 64
Row 3:
-
√1 = 1 → 1 × 1 = 1
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√9 = 3 → 3 × 3 = 9
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√49 = 7 → 7 × 7 = 49
-
√144 = 12 → 12 × 12 = 144
Row 4:
-
√225 = 15 → 15 × 15 = 225
-
√81 = 9 → 9 × 9 = 81
-
√25 = 5 → 5 × 5 = 25
-
√36 = 6 → 6 × 6 = 36
---
## 📐 Part 2: Squares (n²)
We need to multiply the number by itself.
Row 1:
-
11² = 11 × 11 =
121
-
13² = 13 × 13 =
169
-
14² = 14 × 14 =
196
-
10² = 10 × 10 =
100
Row 2:
-
12² = 12 × 12 =
144
-
1² = 1 × 1 =
1
-
15² = 15 × 15 =
225
-
6² = 6 × 6 =
36
Row 3:
-
9² = 9 × 9 =
81
-
3² = 3 × 3 =
9
-
4² = 4 × 4 =
16
-
16² = 16 × 16 =
256
Row 4:
-
8² = 8 × 8 =
64
-
7² = 7 × 7 =
49
-
5² = 5 × 5 =
25
-
2² = 2 × 2 =
4
---
##
✔ Final Answer Key:
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
```
---
## 💡 Tip for Memorization:
These are all
perfect squares from 1² to 16². Knowing them helps with:
- Quick mental math
- Simplifying radicals
- Solving quadratic equations
- Geometry (like Pythagorean theorem)
You can memorize them in pairs:
e.g., 12² = 144 → so √144 = 12
or 15² = 225 → so √225 = 15
---
Let me know if you’d like a printable version or flashcards for these! 😊
Parent Tip: Review the logic above to help your child master the concept of squares and square roots worksheet.
