which choices are equivalent to the quotient below? check all that apply
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:
√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:
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