Directions:  For  the  following  expressions,  please  simplify  the radicals into its  simplest  form.  Please  Show  Your  Work. 1.  √16         2.  √32

Let's simplify the given radicals step by step.

### 1. \(\sqrt{16}\)

\[
\sqrt{16} = 4
\]

**Explanation**: The square root of 16 is 4 because \(4 \times 4 = 16\).

### 2. \(\sqrt{32}\)

To simplify \(\sqrt{32}\), we need to find the largest perfect square that divides 32. 

\[
32 = 16 \times 2
\]

So, we can rewrite the square root as:

\[
\sqrt{32} = \sqrt{16 \times 2}
\]

Now, using the property of square roots that \(\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}\), we have:

\[
\sqrt{32} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}
\]

### Final Answers:
1. \(\sqrt{16} = 4\)
2. \(\sqrt{32} = 4\sqrt{2}\)

Would you like any further details or explanations on this? Here are 5 additional related questions:

1. How would you simplify \(\sqrt{50}\)?
2. What is the simplified form of \(\sqrt{72}\)?
3. Can you simplify \(\sqrt{45}\) and explain the process?
4. How do you find the square root of a non-perfect square like \(\sqrt{18}\)?
5. What is the general rule for simplifying square roots?

**Tip**: When simplifying square roots, always look for the largest perfect square factor of the number inside the square root.

Learn how to simplify square roots, including step-by-step solutions for √16 and √32. Understand the process of finding the simplest form of radicals with detailed explanations and examples. Suitable for Grades 7-9.

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