Respuesta :

Edufirst
Answer: ∛(49) / 7

Explanation:


1) Given expression:

[tex] \frac{ \sqrt[3]{7} }{ \sqrt[3]{49} } [/tex]

2) Notice that 49 = 7².

3) With that in mind, rationalize by multiplying numerator and denominator by ∛7:

[tex] \frac{ \sqrt[3]{7} }{ \sqrt[3]{49} } \frac{ \sqrt[3]{7} }{ \sqrt[3]{7} } = \frac{ \sqrt[]{7^2} }{ \sqrt[3]{7^3} } = \frac{ \sqrt[3]{49} }{7} [/tex]

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