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Answer:

[tex] \boxed{D. \: \sqrt{2} \: \: \: and \: \: \: C. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{16} }{ \sqrt{8} } = \frac{ \sqrt{8\times 2} }{ \sqrt{8} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{8}} \times \sqrt{2} }{ \cancel{ \sqrt{8} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]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} [/tex]

The equivalent quotient of the expression √16 / √8 are as follows:

  • √2
  • √4 / √2

How to find the quotient of an expression?

√16 / √8

√16 = 4

Therefore,

√16 / √8 = 4 / √8 = 4 / 2√2 = 2 / √2

2 / √2 × √2 / √2 = 2√2 / 2 = √2

√4 / √2 × √2 / √2 = √8 / 2 = 2√2 / 2 = √2

Therefore, the equivalent expression of the term √16 / √8 are as follows:

  • √2
  • √4 / √2

learn more on quotient here: https://brainly.com/question/25940273

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