Let's solve the
square root problems step by step.
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🔷 What is a Square Root?
The
square root of a number is a value that, when multiplied by itself, gives the original number.
For example:
- $ \sqrt{4} = 2 $ because $ 2 \times 2 = 4 $
- $ \sqrt{9} = 3 $ because $ 3 \times 3 = 9 $
We are asked to find the square roots of perfect squares.
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✔ Now, let's solve each one:
#### i. $ \sqrt{9} = ? $
- Think: What number times itself equals 9?
- $ 3 \times 3 = 9 $
- So, $ \sqrt{9} = 3 $
#### ii. $ \sqrt{16} = ? $
- $ 4 \times 4 = 16 $
- So, $ \sqrt{16} = 4 $
#### iii. $ \sqrt{36} = ? $
- $ 6 \times 6 = 36 $
- So, $ \sqrt{36} = 6 $
#### iv. $ \sqrt{64} = ? $
- $ 8 \times 8 = 64 $
- So, $ \sqrt{64} = 8 $
#### v. $ \sqrt{25} = ? $
- $ 5 \times 5 = 25 $
- So, $ \sqrt{25} = 5 $
#### vi. $ \sqrt{49} = ? $
- $ 7 \times 7 = 49 $
- So, $ \sqrt{49} = 7 $
#### vii. $ \sqrt{100} = ? $
- $ 10 \times 10 = 100 $
- So, $ \sqrt{100} = 10 $
#### viii. $ \sqrt{144} = ? $
- $ 12 \times 12 = 144 $
- So, $ \sqrt{144} = 12 $
#### ix. $ \sqrt{169} = ? $
- $ 13 \times 13 = 169 $
- So, $ \sqrt{169} = 13 $
#### x. $ \sqrt{121} = ? $
- $ 11 \times 11 = 121 $
- So, $ \sqrt{121} = 11 $
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| i. $ \sqrt{9} $ |
3 |
| ii. $ \sqrt{16} $ |
4 |
| iii. $ \sqrt{36} $ |
6 |
| iv. $ \sqrt{64} $ |
8 |
| v. $ \sqrt{25} $ |
5 |
| vi. $ \sqrt{49} $ |
7 |
| vii. $ \sqrt{100} $ |
10 |
| viii. $ \sqrt{144} $ |
12 |
| ix. $ \sqrt{169} $ |
13 |
| x. $ \sqrt{121} $ |
11 |
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📝 Tip:
These are all
perfect squares, so their square roots are whole numbers. Memorizing small perfect squares (like $ 1^2 = 1, 2^2 = 4, ..., 15^2 = 225 $) helps quickly solve such problems.
Let me know if you'd like help with cube roots too! 😊
Parent Tip: Review the logic above to help your child master the concept of finding cube roots worksheet.