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.