1. [5] Compute $\sqrt{2022^{2}-12^{6}}$.
Answer: 1050

Solution: Compute
$$
\begin{aligned}
2022^{2}-12^{6} & =\left(2022-12^{3}\right)\left(2022+12^{3}\right) \\
& =294 \cdot 3750 \\
& =\left(2 \cdot 3 \cdot 7^{2}\right)\left(2 \cdot 3 \cdot 5^{4}\right),
\end{aligned}
$$
so the answer is $2 \cdot 3 \cdot 5^{2} \cdot 7=1050$.