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ExtremeBDS [4]
3 years ago
12

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

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

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}

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