Answer key for squares and square roots practice problems.

Problem Overview:

The task involves finding the square roots and squares of various integers. The worksheet provides a list of numbers, and for each number, you need to compute either its square root or its square.

Solution Explanation:

#### Square Roots:
The square root of a number \( x \) is a value \( y \) such that \( y^2 = x \). For example:
- \( \sqrt{16} = 4 \) because \( 4^2 = 16 \).

#### Squares:
The square of a number \( x \) is the result of multiplying the number by itself. For example:
- \( 5^2 = 25 \) because \( 5 \times 5 = 25 \).

Step-by-Step Solution:

#### Square Roots:
1. \( \sqrt{256} = 16 \) because \( 16^2 = 256 \).
2. \( \sqrt{4} = 2 \) because \( 2^2 = 4 \).
3. \( \sqrt{169} = 13 \) because \( 13^2 = 169 \).
4. \( \sqrt{100} = 10 \) because \( 10^2 = 100 \).
5. \( \sqrt{121} = 11 \) because \( 11^2 = 121 \).
6. \( \sqrt{196} = 14 \) because \( 14^2 = 196 \).
7. \( \sqrt{16} = 4 \) because \( 4^2 = 16 \).
8. \( \sqrt{64} = 8 \) because \( 8^2 = 64 \).
9. \( \sqrt{1} = 1 \) because \( 1^2 = 1 \).
10. \( \sqrt{9} = 3 \) because \( 3^2 = 9 \).
11. \( \sqrt{49} = 7 \) because \( 7^2 = 49 \).
12. \( \sqrt{144} = 12 \) because \( 12^2 = 144 \).
13. \( \sqrt{225} = 15 \) because \( 15^2 = 225 \).
14. \( \sqrt{81} = 9 \) because \( 9^2 = 81 \).
15. \( \sqrt{25} = 5 \) because \( 5^2 = 25 \).
16. \( \sqrt{36} = 6 \) because \( 6^2 = 36 \).

#### Squares:
1. \( 11^2 = 121 \) because \( 11 \times 11 = 121 \).
2. \( 13^2 = 169 \) because \( 13 \times 13 = 169 \).
3. \( 14^2 = 196 \) because \( 14 \times 14 = 196 \).
4. \( 10^2 = 100 \) because \( 10 \times 10 = 100 \).
5. \( 12^2 = 144 \) because \( 12 \times 12 = 144 \).
6. \( 1^2 = 1 \) because \( 1 \times 1 = 1 \).
7. \( 15^2 = 225 \) because \( 15 \times 15 = 225 \).
8. \( 6^2 = 36 \) because \( 6 \times 6 = 36 \).
9. \( 9^2 = 81 \) because \( 9 \times 9 = 81 \).
10. \( 3^2 = 9 \) because \( 3 \times 3 = 9 \).
11. \( 4^2 = 16 \) because \( 4 \times 4 = 16 \).
12. \( 16^2 = 256 \) because \( 16 \times 16 = 256 \).
13. \( 8^2 = 64 \) because \( 8 \times 8 = 64 \).
14. \( 7^2 = 49 \) because \( 7 \times 7 = 49 \).
15. \( 5^2 = 25 \) because \( 5 \times 5 = 25 \).
16. \( 2^2 = 4 \) because \( 2 \times 2 = 4 \).

Final Answer:

The worksheet is already filled out correctly with the provided answers. Here is the confirmation of the solutions:

#### Square Roots:
\[
\begin{aligned}
&\sqrt{256} = 16, \quad \sqrt{4} = 2, \quad \sqrt{169} = 13, \quad \sqrt{100} = 10, \\
&\sqrt{121} = 11, \quad \sqrt{196} = 14, \quad \sqrt{16} = 4, \quad \sqrt{64} = 8, \\
&\sqrt{1} = 1, \quad \sqrt{9} = 3, \quad \sqrt{49} = 7, \quad \sqrt{144} = 12, \\
&\sqrt{225} = 15, \quad \sqrt{81} = 9, \quad \sqrt{25} = 5, \quad \sqrt{36} = 6.
\end{aligned}
\]

#### Squares:
\[
\begin{aligned}
&11^2 = 121, \quad 13^2 = 169, \quad 14^2 = 196, \quad 10^2 = 100, \\
&12^2 = 144, \quad 1^2 = 1, \quad 15^2 = 225, \quad 6^2 = 36, \\
&9^2 = 81, \quad 3^2 = 9, \quad 4^2 = 16, \quad 16^2 = 256, \\
&8^2 = 64, \quad 7^2 = 49, \quad 5^2 = 25, \quad 2^2 = 4.
\end{aligned}
\]

Thus, the final answer is:
\[
\boxed{\text{The worksheet is correctly filled out as shown.}}
\]