the square root of 32 and the square  root of 2 and the square root of 8

Let's break down the square roots of the numbers you provided:

1. **Square root of 32**:
   \[
   \sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}
   \]

2. **Square root of 2**:
   \[
   \sqrt{2}
   \]
   This is already in its simplest form.

3. **Square root of 8**:
   \[
   \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}
   \]

### Simplified Forms:
- \(\sqrt{32} = 4\sqrt{2}\)
- \(\sqrt{2}\)
- \(\sqrt{8} = 2\sqrt{2}\)

Would you like any further details or have any questions?

### Relative Questions:
1. What is the square root of 50 simplified?
2. How do you calculate the square root of a non-perfect square?
3. Can you simplify the square root of 18?
4. How does the square root of a product relate to the square roots of its factors?
5. What are the properties of square roots in multiplication?

### Tip:
When simplifying square roots, always look for the largest perfect square factor to simplify the expression efficiently.

the square root of 32 and the square root of 2 and the square root of 8

Explore how to simplify the square roots of 32, 2, and 8 using the multiplication property of square roots. Understand key algebraic concepts and formulas that are essential for solving these types of problems, suitable for students in Grades 6-8.

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