Question

Which choices are equivalent to the quotient below? check all that apply

Answer 1

Answer:

$\boxed{D. \: \sqrt{2} \: \: \: and \: \: \: C. \: \frac{ \sqrt{4} }{ \sqrt{2} }}$

Step-by-step explanation:

$= > \frac{ \sqrt{16} }{ \sqrt{8} } = \frac{ \sqrt{8\times 2} }{ \sqrt{8} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{8}} \times \sqrt{2} }{ \cancel{ \sqrt{8} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2}$

$C. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2}$