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Carlos thinks that [tex] \sqrt{8} [/tex]is rational because [tex] {2}^{8} = 8[/tex]Is Carlos correct that [tex] \sqrt{8} [/tex]is a rational number, and why?

Respuesta :

[tex]\sqrt[]{8}[/tex]

and we can represent 8 as

[tex]2^3[/tex]

then

[tex]\begin{gathered} \sqrt[]{2^3} \\ \end{gathered}[/tex]

simplify

[tex]2\sqrt[]{2}[/tex]

we cant simplify root of 2, then is an irrational number necause 8 is not a square square

the right option is B

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