Question

Answer plz! Which choices are equivalent to the quotient below? Check all that apply.

Answer 1

Answer:

A(√2) would be the correct answer.

Answer 2

Answer:

$\boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }}$

Step-by-step explanation:

$= > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2}$

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