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.