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1965 AMC 12 Question 11

AMC12 · 1965 AMC 12

Question 11

Consider the statements:

$$
\begin{aligned} \mathrm{I:}\quad &(\sqrt{-4})(\sqrt{-16})\\ &=\sqrt{(-4)(-16)}, \end{aligned}
$$

$$
\mathrm{II:}\quad \sqrt{(-4)(-16)}=\sqrt{64},
$$

and

$$
\mathrm{III:}\quad \sqrt{64}=8.
$$

Of these the following are *incorrect*:
  1. none
  2. $\mathrm{I}$ only
  3. $\mathrm{II}$ only
  4. $\mathrm{III}$ only
  5. $\mathrm{I}$ and $\mathrm{III}$ only