Root Evaluations
1. The problem requires evaluating several square roots and cube roots.
2. Calculate each root:
- $\sqrt{36} = 6$ since $6 \times 6 = 36$.
- $\sqrt[3]{27} = 3$ because $3 \times 3 \times 3 = 27$.
- $\sqrt{9} = 3$.
- $2\pi$ is a constant expression (approx. $6.283$).
- $\sqrt{5}$ is an irrational number approximately $2.236$.
- Another $\sqrt{5}$ is also approximately $2.236$.
- $\sqrt{8,100} = \sqrt{8100} = 90$ because $90 \times 90 = 8100$.
- $\sqrt{10,000} = 100$ since $100 \times 100 = 10,000$.
3. Final answers:
$$\sqrt{36} = 6,$$
$$\sqrt[3]{27} = 3,$$
$$\sqrt{9} = 3,$$
$$2\pi \approx 6.283,$$
$$\sqrt{5} \approx 2.236,$$
$$\sqrt{5} \approx 2.236,$$
$$\sqrt{8100} = 90,$$
$$\sqrt{10,000} = 100.$$