To solve the problem of finding the square roots, we need to determine the number that, when multiplied by itself, gives the original number. Let's go through each square root step by step.
Given Table:
| Square Root | Value |
|-------------|-------|
| √121 | |
| √400 | |
| √225 | |
| √100 | |
| √36 | |
| √196 | |
| √289 | |
| √361 | |
| √81 | |
| √169 | |
| √324 | |
| √256 | |
---
Step-by-Step Solution:
1.
√121:
- We need a number \( x \) such that \( x^2 = 121 \).
- \( 11 \times 11 = 121 \).
- Therefore, \( \sqrt{121} = 11 \).
2.
√400:
- We need a number \( x \) such that \( x^2 = 400 \).
- \( 20 \times 20 = 400 \).
- Therefore, \( \sqrt{400} = 20 \).
3.
√225:
- We need a number \( x \) such that \( x^2 = 225 \).
- \( 15 \times 15 = 225 \).
- Therefore, \( \sqrt{225} = 15 \).
4.
√100:
- We need a number \( x \) such that \( x^2 = 100 \).
- \( 10 \times 10 = 100 \).
- Therefore, \( \sqrt{100} = 10 \).
5.
√36:
- We need a number \( x \) such that \( x^2 = 36 \).
- \( 6 \times 6 = 36 \).
- Therefore, \( \sqrt{36} = 6 \).
6.
√196:
- We need a number \( x \) such that \( x^2 = 196 \).
- \( 14 \times 14 = 196 \).
- Therefore, \( \sqrt{196} = 14 \).
7.
√289:
- We need a number \( x \) such that \( x^2 = 289 \).
- \( 17 \times 17 = 289 \).
- Therefore, \( \sqrt{289} = 17 \).
8.
√361:
- We need a number \( x \) such that \( x^2 = 361 \).
- \( 19 \times 19 = 361 \).
- Therefore, \( \sqrt{361} = 19 \).
9.
√81:
- We need a number \( x \) such that \( x^2 = 81 \).
- \( 9 \times 9 = 81 \).
- Therefore, \( \sqrt{81} = 9 \).
10.
√169:
- We need a number \( x \) such that \( x^2 = 169 \).
- \( 13 \times 13 = 169 \).
- Therefore, \( \sqrt{169} = 13 \).
11.
√324:
- We need a number \( x \) such that \( x^2 = 324 \).
- \( 18 \times 18 = 324 \).
- Therefore, \( \sqrt{324} = 18 \).
12.
√256:
- We need a number \( x \) such that \( x^2 = 256 \).
- \( 16 \times 16 = 256 \).
- Therefore, \( \sqrt{256} = 16 \).
---
Final Answer:
| Square Root | Value |
|-------------|-------|
| √121 | 11 |
| √400 | 20 |
| √225 | 15 |
| √100 | 10 |
| √36 | 6 |
| √196 | 14 |
| √289 | 17 |
| √361 | 19 |
| √81 | 9 |
| √169 | 13 |
| √324 | 18 |
| √256 | 16 |
$$
\boxed{
\begin{array}{c|c}
\text{Square Root} & \text{Value} \\
\hline
\sqrt{121} & 11 \\
\sqrt{400} & 20 \\
\sqrt{225} & 15 \\
\sqrt{100} & 10 \\
\sqrt{36} & 6 \\
\sqrt{196} & 14 \\
\sqrt{289} & 17 \\
\sqrt{361} & 19 \\
\sqrt{81} & 9 \\
\sqrt{169} & 13 \\
\sqrt{324} & 18 \\
\sqrt{256} & 16 \\
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of worksheet on square roots.
