Question

Racionalize os denominadores : a) √8/√7 b) 2/³√2

Answer 1

Vamos aos cálculos.

$a) \frac{ \sqrt{8} }{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } = \frac{ \sqrt{56} }{7} \\ \\ \\ b) \frac{2 }{ \sqrt[3]{2} } \times \frac{ \sqrt[3]{2} }{ \sqrt[3]{2} } = \frac{2 \sqrt[3]{2} }{ \sqrt[3]{4} }$

Answer 2

a)

a) √8/√7 = a) √8*√7/[√7*√7] = (√56)/7

b) 2/∛2 = 2 * 2^(-1/3) = 2^(1-1/3) = 2^(2/3) = ∛2² =∛4