Respuesta :

Answer:

Neither, they are both equal.

Step-by-step explanation:

FYI, that three in front of the radical in the first expression is actually cube root. The cube root of 64 is 4, and the square root of 16 is 4.

[tex]\sqrt[3]{64} =4\\\sqrt{16}=4\\4=4[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Option A }\huge\boxed {\downarrow}[/tex]

[tex]\huge\boxed{\rm{\sqrt[3]{64}}}}\\\huge\boxed{= \rm{\sqrt[3]{4^3}}}}\\\huge\boxed{= \rm{\sqrt[3]{4\times4 \times4}}}\\\huge\boxed{\rm{\rightarrow \sqrt{64}= 8, \ because \ 8\times8 = \bf 64}}\\\huge\boxed{\rm{{= \dfrac{8}{2}\rightarrow 8\div 2 \rightarrow \bf 4}}}[/tex]

[tex]\huge\boxed{\textsf{Option A.) answer: \bf 4}}[/tex]

[tex]\huge\textsf{Possible Option A. part II }\huge\boxed\downarrow[/tex]

[tex]\huge\boxed{\rm{\sqrt{64} = \sqrt{8\times8}= \bf 8}}\\\huge\boxed{\text{Possible answer for Option A. part II: \bf 8}}[/tex]

[tex]\huge\textsf{Option B }\huge\boxed\downarrow[/tex]

[tex]\huge\boxed{\rm{\sqrt{16}}}\\\huge\boxed{\rm{= \sqrt{4\times4}}}\\\huge\boxed{\rm{= \sqrt{16} \rightarrow \bold{4}\rightarrow 4\times4 \rightarrow \bf 16}}[/tex]

[tex]\huge\boxed{\textsf{Option B.) answer: \bf 4}}[/tex]

[tex]\huge\boxed{{\textsf{Based on the given information \boxed{\textsf{\bf NEITHER}} is}}}\\\huge\boxed{\textsf{the answer because it seems reasonable \& both}}\\\huge\boxed{\textsf{choices are very much equivalent to each other}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]