Question

Racionalize cada item abaixo:
a) 2/√7
b) 2/√2
c) 3/4√3
d) 3/³√5

Answer 1

Explicação passo a passo:

a)

${2\over\sqrt{7} }={2\sqrt{7} \over\sqrt{7} .\sqrt{7} }={2\sqrt{7} \over\sqrt{49} }={2\sqrt{7} \over7}$

b)

${2\over\sqrt{2} }={2\sqrt{2} \over\sqrt{2} .\sqrt{2} }={2\sqrt{2} \over\sqrt{4} }={\not2\sqrt{2} \over\not2}=\sqrt{2}$

c)

${3\over4\sqrt{3} }={3\sqrt{3} \over4\sqrt{3} .\sqrt{3} }={3\sqrt{3} \over4.\sqrt{9} }={\not3\sqrt{3} \over4.\not3}={\sqrt{3} \over4}$

d)

${3\over\sqrt[3]{5} }={3\sqrt[3]{5^2} \over\sqrt[3]{5} .\sqrt[3]{5^2} }={3\sqrt[3]{5^2} \over\sqrt[3]{5.5^2} }={\sqrt[5]{5^2} \over\sqrt[3]{5^3} }={\sqrt[3]{25} \over5}$