Let's solve each square root step by step and explain the process.
We are asked to
find the square root of several numbers. We'll go through each one:
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1.
√25
- 5 × 5 = 25
- So, √25 =
5
---
2.
√225
- Let's think: 15 × 15 = 225
- So, √225 =
15
---
3.
√625
- Try 25 × 25 = 625
- So, √625 =
25
---
4.
√1225
- Try 35 × 35 = 1225
- So, √1225 =
35
---
5.
√2025
- Try 45 × 45 = 2025
- So, √2025 =
45
---
6.
√3025
- Try 55 × 55 = 3025
- So, √3025 =
55
---
7.
√4225
- Try 65 × 65 = 4225
- So, √4225 =
65
---
8.
√5625
- Try 75 × 75 = 5625
- So, √5625 =
75
---
9.
√7225
- Try 85 × 85 = 7225
- So, √7225 =
85
---
10.
√9025
- Try 95 × 95 = 9025
- So, √9025 =
95
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✔ Final Answers:
| Square Root | Answer |
|-------------|--------|
| √25 | 5 |
| √225 | 15 |
| √625 | 25 |
| √1225 | 35 |
| √2025 | 45 |
| √3025 | 55 |
| √4225 | 65 |
| √5625 | 75 |
| √7225 | 85 |
| √9025 | 95 |
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🔍 Pattern Observation:
All these numbers are perfect squares, and they follow a pattern:
- They are squares of multiples of 5:
5, 15, 25, 35, ..., 95
You can also notice that:
- The last two digits are often
25, which is a clue that the number might be a square ending in 5.
- For example:
- 5² = 25
- 15² = 225
- 25² = 625
- etc.
This pattern helps in quickly estimating or verifying square roots.
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✔ All answers are whole numbers because all inputs are perfect squares.
Parent Tip: Review the logic above to help your child master the concept of square root problems worksheet.